### Complete Bibliography

[1] : “Quantum mechanics over fields of non-zero characteristic,” Lett. Math. Phys. 1 : 2 (1975–1976), pp. 99–103. MR 418670 article

[2]
:
“Sur la conjugaison de sous-facteurs de facteurs de type __\( \mathrm{II}_1 \)__”
[On the conjugation of subfactors of type __\( \mathrm{II}_1 \)__ factors],
C. R. Acad. Sci. Paris Sér. A-B
284 : 11
(1977),
pp. A597–A598.
MR
430803
Zbl
0344.46128
article

[3]
:
Actions of finite groups on the hyperfinite __\( \mathrm{II}_1 \)__ factor.
Ph.D. thesis,
University of Geneva,
1979.
Advised by A. Haefliger.
Republished as *Memoirs of the American Mathematical Society* **237** (1980).
phdthesis

[4] : “An invariant for group actions,” pp. 237–253 in Algèbres d’opérateurs [Operator algebras] (Les Plans-sur-Bex, France, 13–18 March 1978). Edited by P. de la Harpe. Lecture Notes in Mathematics 725. Springer (Berlin), 1979. MR 548118 Zbl 0497.46044 incollection

[5]
:
“Antiautomorphismes involutifs du facteur hyperfini de type __\( \mathrm{II}_1 \)__”
[Involutive antiautomorphisms of hyperfinite type __\( \mathrm{II}_1 \)__ factors],
C. R. Acad. Sci. Paris Sér. A-B
290 : 1
(1980),
pp. A29–A31.
MR
564145
Zbl
0428.46047
article

[6]
:
“A __\( \mathrm{II}_1 \)__ factor anti-isomorphic to itself but without involutory antiautomorphisms,”
Math. Scand.
46 : 1
(1980),
pp. 103–117.
MR
585235
Zbl
0432.46062
article

[7]
:
Actions of finite groups on the hyperfinite type __\( \mathrm{II}_1 \)__ factor.
Memoirs of the American Mathematical Society 237.
American Matheammatical Society (Providence, RI),
1980.
Republication of Jones’ 1979 PhD thesis.
MR
587749
Zbl
0454.46045
book

[8]
:
“Isomorphisms of automorphism groups of type __\( \mathrm{II} \)__ factors,”
pp. 211–219
in
Topics in modern operator theory
(Timişoara and Herculane, Romania, 2–12 June 1980).
Edited by C. Apostol, R. G. Douglas, B. Sz.-Nagy, and D. Voiculescu.
Operator Theory: Advances and Applications 2.
Birkhäuser (Basel and Boston),
1981.
MR
672823
Zbl
0463.46049
incollection

[9]
:
“Prime actions of compact abelian groups on the hyperfinite type __\( \mathrm{II} \)__ factor,”
J. Oper. Theory
9 : 1
(1982),
pp. 181–186.
MR
695946
Zbl
0508.46043
article

[10]
:
“A __\( \mathrm{II}_1 \)__ factor with two nonconjugate Cartan subalgebras,”
Bull. Am. Math. Soc. (N.S.)
6 : 2
(1982),
pp. 211–212.
MR
640947
Zbl
0501.46056
article

[11]
:
“Period two automorphisms of __\( \mathrm{UHF} \)__ __\( C^* \)__-algebras,”
J. Funct. Anal.
45 : 2
(1982),
pp. 169–176.
MR
647069
Zbl
0511.46057
article

[12] : “Central sequences in crossed products of full factors,” Duke Math. J. 49 : 1 (March 1982), pp. 29–33. MR 650367 Zbl 0492.46049 article

[13]
:
“L’indice d’un sous-facteur d’un facteur de type __\( \mathrm{II} \)__”
[The index of a subfactor of a type __\( \mathrm{II} \)__ factor],
C. R. Acad. Sci. Paris Sér. I Math.
294 : 12
(1982),
pp. 391–394.
MR
659729
Zbl
0492.46048
article

[14] : “Actions of discrete groups on factors,” pp. 167–177 in Operator algebras and applications (Kingston, ON, 14 July–2 August 1980), part 2. Edited by R. V. Kadison. Proceedings of Symposia in Pure Mathematics 38. American Mathematical Society (Providence, RI), 1982. MR 679504 Zbl 0503.46045 incollection

[15] : “Some properties of MASA’s in factors,” pp. 89–102 in Invariant subspaces and other topics (Timişoara and Herculane, Romania, 1–11 June 1981). Edited by C. Apostol, R. G. Douglas, B. Szőkefalvi-Nagy, and D. Voisulescu. Operator Theory: Advances and Applications 6. Birkhäuser (Basel and Boston), 1982. MR 685457 Zbl 0508.46041 incollection

[16] : “Models of finite group actions,” Math. Scand. 52 : 2 (1983), pp. 312–320. MR 702960 Zbl 0551.46043 article

[17] : A converse to Ocneanu’s theorem, 1983. MR 715556 Zbl 0547.46045 arcticle

[18]
:
“Index for subfactors,”
Invent. Math.
72 : 1
(1983),
pp. 1–25.
A lecture based on this was published in *Fields Medallists’ lectures* (1997).
MR
696688
Zbl
0508.46040
article

[19] : “Relative cohomology of groups,” Commentarii Math. Helvet. 59 : 1 (1984), pp. 149–164. MR 743948 Zbl 0544.20047 article

[20]
:
“Groups de tresses, algèbres de Hecke et facteurs de type __\( \mathrm{II}_1 \)__”
[Braid groups, Hecke algebras and type __\( \mathrm{II}_1 \)__ factors],
C. R. Acad. Sci., Paris, Sér. I
298 : 20
(1984),
pp. 505–508.
An expanded English version of this was published in *Geometric methods in operator algebras* (1986).
MR
753900
Zbl
0597.20034
article

[21] : “Actions of compact abelian groups on semifinite injective factors,” Acta Math. 153 (1984), pp. 213–258. MR 766264 Zbl 0588.46042 article

[22]
:
“Property __\( T \)__ for von Neumann algebras,”
Bull. Lond. Math. Soc.
17 : 1
(January 1985),
pp. 57–62.
MR
766450
Zbl
1190.46047
article

[23]
:
“A polynomial invariant for knots via von Neumann algebras,”
Bull. Am. Math. Soc.
12 : 1
(January 1985),
pp. 103–111.
A lecture based on this was published in *Fields Medallists’ lectures* (1997).
MR
766964
Zbl
0564.57006
article

[24] : “Classification des matrices entières non négatives de petites normes” [Classification of non-negative integral matrices with small norms], C. R. Acad. Sci., Paris, Sér. I 300 : 14 (1985), pp. 463–465. MR 788972 Zbl 0624.15013 article

[25] : “Index for subrings of rings,” pp. 181–190 in Group actions on rings (Brunswick, ME, 8–14 July 1984). Edited by S. Montgomery. Contemporary Mathematics 43. American Mathematical Society (Providence, RI), 1985. MR 810651 Zbl 0607.46033 incollection

[26] : “A new knot polynomial and von Neumann algebras,” Notices Am. Math. Soc. 33 : 2 (March 1986), pp. 219–225. MR 830613 article

[27] : “Seminar Bourbaki, vol. 1984/85” [Index of subfactors, Hecke algebras and knot theory (after Vaughan Jones)], pp. 289–308. Astérisque 133–134. Société Mathématique de France (Paris), 1986. Exposé no. 647. MR 837226 Zbl 0597.57005 incollection

[28]
:
“Braid groups, Hecke algebras and type __\( \mathrm{II} \)__ factors,”
pp. 242–273
in
Geometric methods in operator algebras
(Kyoto, July 1983).
Edited by H. Araki and E. G. Effros.
Pitman Research Notes in Mathematics 123.
Longman Scientific & Technical,
1986.
A brief, French language version was published in *C. R. Acad. Sci., Paris, Sér. I* **298**:20 (1984).
MR
866500
Zbl
0659.46054
incollection

[29] : “Vaughan Jones and knot theory: A New Zealand mathematician unravels a new invariant which links diverse sciences in an unforeseen thread,” NZMS Newslett. 37 (August 1986), pp. 28–32. MR 988593 article

[30] : “Asymptotically invariant sequences and approximate finiteness,” Am. J. Math. 109 : 1 (February 1987), pp. 91–114. MR 878200 Zbl 0638.28014 article

[31] : “Central sequences in crossed products,” pp. 539–544 in Operator algebras and mathematical physics (Iowa City, IA, 17–21 June 1985). Edited by P. E. T. Jørgensen and P. S. Muhly. Contemporary Mathematics 62. American Mathematical Society (Providence, RI), 1987. MR 878399 Zbl 0624.46044 incollection

[32]
:
“Hecke algebra representations of braid groups and link polynomials,”
Ann. Math. (2)
126 : 2
(September 1987),
pp. 335–388.
This was republished in *New Developments in the Theory of Knots* (1990).
MR
908150
Zbl
0631.57005
article

[33]
:
“Subfactors of type __\( \mathrm{II}_1 \)__ factors and related topics,”
pp. 939–947
in
Proceedings of the International Congress of Mathematicians
(Berkeley, CA, 3–11 August 1986),
vol. 2.
Edited by A. M. Gleason.
American Mathematical Society (Providence, RI),
1987.
MR
934296
Zbl
0674.46034
incollection

[34] : “On knot invariants related to some statistical mechanical models,” Pac. J. Math. 137 : 2 (1989), pp. 311–334. MR 990215 Zbl 0695.46029 article

[35] : Coxeter graphs and towers of algebras. MSRI Publications 14. Springer (New York), 1989. MR 999799 Zbl 0698.46050 book

[36] : “Metaplectic link invariants,” Geom. Dedicata 31 : 2 (1989), pp. 165–191. MR 1012438 Zbl 0678.57007 article

[37] : “On a certain value of the Kauffman polynomial,” Commun. Math. Phys. 125 : 3 (1989), pp. 459–467. MR 1022523 Zbl 0695.57003 article

[38]
:
“Notes on subfactors and statistical mechanics,”
pp. 1–25
in
Braid group, knot theory and statistical mechanics, II.
Edited by C. N. Yang and M. L. Ge.
Advanced Series in Mathematical Physics 9.
World Scientific (River Edge, NJ),
1989.
Also published in *Int. J. Mod. Phys. A* **5**:3 (1990) and *Braid group, knot theory and statistical mechanics, II* (1994).
MR
1062421
Zbl
0725.46038
incollection

[39] : “Vaughan F. R. Jones,” Notices Am. Math. Soc. 37 : 9 (1990), pp. 1211–1213. article

[40]
:
“Hecke algebra representations of braid groups and link polynomials,”
pp. 20–73
in
New Developments in the theory of knots.
Edited by T. Kohno.
Advanced Series in Mathematical Physics 11.
World Scientific (Singapore),
1990.
Republished from *Ann. Math.* **126**:2 (1987).
incollection

[41]
:
“Notes on subfactors and statistical mechanics,”
Int. J. Mod. Phys. A
5 : 3
(1990),
pp. 441–460.
Also published in *Braid group, knot theory and statistical mechanics, II* (1989) and *Braid group, knot theory and statistical mechanics, II* (1994).
MR
1034604
Zbl
0737.46042
article

[42]
:
“Baxterization,”
pp. 701–713
in
Proceedings of the conference on Yang–Baxter equations, conformal invariance and integrability in statistical mechanics and field theory
(Canberra, Australia, 10–14 July 1989),
published as Int. J. Mod. Phys. B
4 : 5.
Issue edited by M. N. Barber and P. A. Pearce.
World Scientific (Singapore),
1990.
Other versions of this were published in *Int. J. Mod. Phys. A* **6**:12 (1991) and *Differential geometric methods in theoretical physics* (1990).
MR
1064744
Zbl
0723.57003
incollection

[43] : “Paires de sous-algèbres semi-simples et graphes fortement réguliers” [Pairs of semi-simple subalgebras and strongly regular graphs], C. R. Acad. Sci., Paris, Sér. I 311 : 3 (1990), pp. 147–150. MR 1065880 Zbl 0707.46039 article

[44] : “Knot theory and statistical mechanics,” Sci. Am. 263 : 5 (November 1990), pp. 98–103. MR 1079724 article

[45] : “Profiles of the ICM-90 Fields Medal prizewinner,” Sūgaku 42 : 4 (1990), pp. 361–366. MR 1083945 article

[46]
:
“Knots, braids and statistical mechanics,”
pp. 149–184
in
Advances in differential geometry and topology.
World Scientific (Singapore),
1990.
A later version of this was published in *Integrable systems and quantum groups* (1992).
MR
1095535
Zbl
0772.57008
incollection

[47]
:
“Baxterization,”
pp. 5–11
in
Differential geometric methods in theoretical physics: Physics and geometry
(Davis, CA, 2–8 July 1988).
Edited by L.-L. Chau and W. Nahm.
NATO ASI Series. Series B. Physics 245.
Plenum Press (New York),
1990.
Other versions of this were published in *Int. J. Mod. Phys. B* **4**:5 (1990) and *Int. J. Mod. Phys. A* **6**:12 (1991).
MR
1169469
Zbl
1210.82022
incollection

[48] : “Médaille Fields de Vaughan Jones” [The Fields Medal of Vaughan Jones], Gaz. Math. 47 (1991), pp. 17–19. MR 1091904 article

[49]
:
“Baxterization,”
Int. J. Mod. Phys. A
6 : 12
(1991),
pp. 2035–2043.
Other versions of this were published in *Int. J. Mod. Phys. B* **4**:5 (1990) and *Differential geometric methods in theoretical physics* (1990).
MR
1100623
Zbl
0744.57005
article

[50] : “Vaughan F. R. Jones’ achievements, I,” Sūgaku 43 : 1 (1991), pp. 29–34. MR 1111238 Zbl 0778.57001 article

[51] : “Vaughan F. R. Jones’ achievements, II,” Sūgaku 43 : 1 (1991), pp. 35–40. MR 1111239 article

[52] : Subfactors and knots (Annapolis, MD, 5–11 June 1988). CBMS Regional Conference Series in Mathematics 80. American Mathematical Society (Providence, RI), 1991. MR 1134131 Zbl 0743.46058 book

[53]
:
“The work of Vaughan F. R. Jones,”
pp. 9–18
in
Proceedings of the International Congress of Mathematicians
(Kyoto, 21–29 August 1990),
vol. 1.
Edited by I. Satake.
Mathematical Society of Japan (Tokyo),
1991.
Reprinted in *Fields Medallists’ lectures* (1997).
MR
1159199
Zbl
0743.01023
incollection

[54] : “Von Neumann algebras in mathematics and physics,” pp. 121–138 in Proceedings of the International Congress of Mathematicians (Kyoto, Japan, 21–29 August 1990), vol. 1. Edited by I. Satake. Springer (Tokyo), 1991. This may have seen an expanded republication in Introduction to modern mathematics (2015). MR 1159209 Zbl 0781.46046 incollection

[55]
:
“Commuting transfer matrices and link polynomials,”
Int. J. Math.
3 : 2
(1992),
pp. 205–212.
An expanded version of this was published in *Differential geometric methods in theoretical physics* (1992).
MR
1146812
Zbl
0774.57005
article

[56] : “Knots, braids, statistical mechanics and von Neumann algebras,” pp. 1–16 in New Zealand mathematics colloquium (Dunedin, New Zealand, 19–23 May 1991), published as New Zealand J. Math. 21. University of Auckland, April 1992. MR 1167459 Zbl 0758.57002 incollection

[57]
:
“Knots, braids and statistical mechanics,”
pp. 1–36
in
Integrable systems and quantum groups
(Pavia, Italy, 1–2 March 1990).
Edited by M. Carfora, M. Martellini, and A. Marzuoli.
World Scientific (Singapore),
1992.
An earlier version of this was published in *Advances in differential geometry and topology* (1990).
MR
1178540
Zbl
0922.57007
incollection

[58] : “Strings, knots, and quantum groups: A glimpse at three 1990 Fields medalists,” SIAM Rev. 34 : 3 (September 1992), pp. 406–425. MR 1180070 Zbl 0757.01029 article

[59] : “From quantum theory to knot theory and back: A von Neumann algebra excursion,” pp. 321–336 in Mathematics into the twenty-first century: Proceedings of the AMS centennial symposium (Providence, RI, 8–12 August 1988), vol. 2. Edited by F. E. Browder. American Mathematical Society (Providence, RI), 1992. MR 1184618 Zbl 0965.46042 incollection

[60] “Eulogy of Vaughan Jones,” NZMS Newslett. 55 (August 1992), pp. 9–10. Eulogy delivered by P. T. Tarling. MR 1185251 article

[61]
:
“Coincident link polynomials from commuting transfer matrices,”
pp. 137–151
in
Differential geometric methods in theoretical physics: Proceedings of the 20th international conference
(New York, 3–7 June 1991),
vol. 1.
Edited by S. Catto and A. Rocha.
World Scientific (Singapore),
1992.
This is an expanded version of an article published in *Int. J. Math.* **3**:2 (1992).
MR
1225110
Zbl
0813.57004
incollection

[62] : “Round-table discussion,” pp. 87–108 in Mathematical research today and tomorrow (Barcelona, 1991), vol. 1525. Lecture Notes in Math. Springer, Berlin, 1992. MR 1247058 incollection

[63] : Spin models, subfactors and link invariants, 1993. Kyoto University Infinite Analysis Lecture Notes No. 3. Notes by T. Kato. misc

[64] : “Graph invariants related to statistical mechanical models: Examples and problems,” J. Comb. Theory, Ser. B 57 : 2 (1993), pp. 207–227. MR 1207488 Zbl 0729.57003 article

[65] : “On the invariants of torus knots derived from quantum groups,” J. Knot Theory Ramifications 2 : 1 (1993), pp. 97–112. MR 1209320 Zbl 0787.57006 article

[66] : “Milnor’s work and knot polynomials,” pp. 195–202 in Topological methods in modern mathematics: Proceedings of a symposium in honor of John Milnor’s sixtieth birthday (Stony Brook, NY, 14–21 June 1991). Edited by L. R. Goldberg and A. V. Phillips. Publish or Perish (Houston, TX), 1993. MR 1215965 Zbl 0833.57001 incollection

[67] : “Editorial (dedication of this issue to Huzihiro Araki),” Comm. Math. Phys. 155 : 1 (1993), pp. 1–2. MR 1228522 article

[68] : “Spin model on knot projections,” pp. 195–200 in Operator algebras, mathematical physics, and low dimensional topology (Istanbul, 1–5 July 1991). Edited by R. Herman and B. Tanbay. Research Notes in Mathematics 5. A. K. Peters (Wellesley, MA), 1993. MR 1259065 Zbl 0853.46079 incollection

[69] : “On a family of almost commuting endomorphisms,” J. Funct. Anal. 122 : 1 (1994), pp. 84–90. MR 1274584 Zbl 0821.46076 article

[70] : “Lissajous knots,” J. Knot Theory Ramif. 3 : 2 (1994), pp. 121–140. MR 1279916 Zbl 0834.57005 article

[71] : “A quotient of the affine Hecke algebra in the Brauer algebra,” Enseign. Math. (2) 40 : 3–4 (1994), pp. 313–344. MR 1309131 Zbl 0852.20035 article

[72]
:
“A theorem regarding 4-braids and the __\( V = 1 \)__ problem,”
pp. 127–135
in
Proceedings of the conference on quantum topology
(Manhattan, KS, 24–28 March 1993).
Edited by D. N. Yetter.
World Scientific (Singapore),
1994.
MR
1309931
Zbl
0900.20066
incollection

[73] : “The Potts model and the symmetric group,” pp. 259–267 in Subfactors: Proceedings of the Taniguchi symposium on operator algebras (Kyuzeso, Japan, 6–10 July 1993). Edited by H. Araki, H. Kosaki, and Y. Kawahigashi. World Scientific (Singapore), 1994. MR 1317365 Zbl 0938.20505 incollection

[74]
:
“Notes on subfactors and statistical mechanics,”
pp. 177–201
in
Braid group, knot theory and statistical mechanics, II.
Edited by C. N. Yang and M. L. Ge.
Advanced Series in Mathematical Physics 17.
World Scientific (River Edge, NJ),
1994.
Also published in *Braid group, knot theory and statistical mechanics, II* (1989) and *Int. J. Mod. Phys. A* **5**:3 (1990).
MR
1338603
Zbl
0822.46074
incollection

[75] : “Carrés commutatifs et invariants de structures combinatoires” [Commuting squares and invariants of combinatorial structures], C. R. Acad. Sci. Paris Sér. I Math. 320 : 9 (1995), pp. 1049–1054. MR 1332609 Zbl 0826.16024 article

[76] : “Three lectures on knots and von Neumann algebras,” pp. 96–113 in Infinite-dimensional geometry, noncommutative geometry, operator algebras, fundamental interactions (Saint-François, Guadeloupe, 30 May–13 June 1993). Edited by R. Coquereaux, M. Dubois-Violette, and P. Flad. World Scientific (River Edge, NJ), 1995. MR 1382136 incollection

[77] : “Fusion en algèbres de von Neumann et groupes de lacets (d’après A. Wassermann)” [Fusion in von Neumann algebras and loop groups (after A. Wassermann)], pp. 251–273 in Séminaire Bourbaki, vol. 1994/95. Astérisque 237. 1996. Exposé no. 800. MR 1423627 Zbl 0921.46066 incollection

[78] : “A note on free composition of subfactors,” pp. 339–361 in Geometry and physics (Aarhus, Denmark, 18–27 July 1995). Edited by J. E. Andersen, J. Dupont, H. Pedersen, and A. Swann. Lecture Notes in Pure and Applied Mathematics 184. Dekker (New York), 1997. MR 1423180 Zbl 0968.46045 incollection

[79] : “Algebras associated to intermediate subfactors,” Invent. Math. 128 : 1 (1997), pp. 89–157. MR 1437496 Zbl 0891.46035 article

[80] : “Book review: Alain Connes, ‘Noncommutative geometry’,” Notices Am. Math. Soc. 44 : 7 (1997), pp. 792–799. MR 1460207 Zbl 0908.46041 article

[81] : Introduction to subfactors. London Mathematical Society Lecture Note Series 234. Cambridge University Press, 1997. MR 1473221 Zbl 0903.46062 book

[82]
:
“The work of Vaughan F. R. Jones,”
pp. 435–445
in
Fields Medallists’ lectures.
Edited by M. F. Atiyah and D. Iagolnitzer.
World Scientific Series in 20th Century Mathematics 5.
World Scientific (River Edge, NJ),
1997.
Reprinted from *Proceedings of the International Congress of Mathematicians* (1991).
MR
1622915
incollection

[83]
:
“A polynomial invariant for knots via von Neumann algebras,”
pp. 448–458
in
Fields Medallists’ lectures.
Edited by M. Atiyah and D. Iagolnitzer.
World Scientific Series in 20th Century Mathematics 5.
World Scientific (River Edge, NJ),
1997.
Lecture based on an article published in *Bull. Am. Math. Soc.* *12*:1 (1985).
MR
1622916
incollection

[84]
:
“Index for subfactors,”
pp. 459–486
in
Fields Medallists’ lectures.
Edited by M. Atiyah and D. Iagolnitzer.
World Scientific Series in 20th Century Mathematics 5.
World Scientific (River Edge, NJ),
1997.
This lecture was based on an article published in *Invent. Math.* *72*:1 (1983).
MR
1622917
incollection

[85] : “Book review: D. Evans and Y. Kawahigashi, ‘Quantum symmetries on operator algebras’,” Bull. Am. Math. Soc. 38 : 3 (1998), pp. 369–377. article

[86] Knot theory (Warsaw, 13 July–17 August 1995). Edited by V. F. R. Jones, J. Kania-Bartoszyńska, J. H. Przytycki, and V. G. Traczyk, Pawełand Turaev. Banach Center Publications 42. Polish Academy of Sciences, Institute of Mathematics (Warsaw), 1998. MR 1634442 Zbl 0890.00048 book

[87] : “Lissajous knots and billiard knots,” pp. 145–163 in Knot theory (Warsaw, 13 July–17 August 1995). Edited by V. F. R. Jones, J. Kania-Bartoszyńska, J. H. Przytycki, P. Traczyk, and V. G. Turaev. Banach Center Publications 42. Polish Academy of Sciences, Institute of Mathematics (Warsaw), 1998. MR 1634454 Zbl 0901.57012 incollection

[88] : “A credo of sorts,” pp. 203–214 in Truth in mathematics (Mussomeli, Italy, 13–20 September 1995). Edited by H. G. Dales and G. Oliveri. Oxford University Press (New York), 1998. MR 1688343 Zbl 1041.57500 incollection

[89] : Planar algebras, I. Preprint, September 1999. Zbl 1328.46049 ArXiv math/9909027 techreport

[90]
:
“Singly generated planar algebras of small dimension,”
Duke Math. J.
101 : 1
(2000),
pp. 41–75.
Part II was published in *Adv. Math.* **175**:2 (2003). Part III was published in *Trans. Am. Math. Soc.* **369**:14 (2017).
MR
1733737
Zbl
1075.46053
article

[91] : “Ten problems,” pp. 79–91 in Mathematics: Frontiers and perspectives. Edited by V. Arnold, M. Atiyah, P. Lax, and B. Mazur. American Mathematical Society (Providence, RI), 2000. MR 1754769 Zbl 0969.57001 incollection

[92] : “Matematik för ett nytt årtusende” [Mathematics for a new millennium], Normat 48 : 4 (2000), pp. 145–152. MR 1829722 Zbl 1031.01014 article

[93]
Knots in Hellas ’98: Proceedings of the international conference on knot theory an its ramifications
(Delphi, Greece, 7–15 August 1998),
vol. 1.
Edited by C. M. Gordon, V. F. R. Jones, L. H. Kauffman, S. Lambropoulou, and J. H. Przytycki.
Series on Knots and Everything 24.
World Scientific (River Edge, NJ),
2000.
Volume 2 was published as *J. Knot Theory Ramif.* **10**:2 (2001). Volume 3 was published as *J. Knot Theory Ramif.* **10**:5 (2001).
MR
1865695
Zbl
0959.00034
book

[94] : “The planar algebra of a bipartite graph,” pp. 94–117 in Knots in Hellas ’98: Proceedings of the international conference on knot theory an its ramifications (Delphi, Greece, 7–15 August 1998), vol. 1. Edited by C. M. Gordon, V. F. R. Jones, L. H. Kauffman, S. Lambropoulou, and J. H. Przytycki. Series on Knots and Everything 24. World Scientific (River Edge, NJ), 2000. MR 1865703 Zbl 1021.46047 incollection

[95] Knots in Hellas ’98: Proceedings of the international conference on knot theory an its ramifications, volume 2 (Delphi, Greece, 7–15 August 1998), published as J. Knot Theory Ramif. 10 : 2. Issue edited by C. M. Gordon, V. F. R. Jones, L. H. Kauffman, S. Lambropoulou, and J. H. Przytycki. World Scientific (Singapore), 2001. Volume 1 was published as a standalone book in 2001. MR 1822488 book

[96] Knots in Hellas ’98: Proceedings of the international conference on knot theory an its ramifications, volume 3 (Delphi, Greece, 7–15 August 1998), published as J. Knot Theory Ramif. 10 : 5. Issue edited by C. M. Gordon, V. F. R. Jones, L. H. Kauffman, S. Lambropoulou, and J. H. Przytycki. World Scientific (Singapore), 2001. Volume 1 was published as a standalone book in 2001. MR 1839692 book

[97] : “The annular structure of subfactors,” pp. 401–463 in Essays on geometry and related topics: Mémoires dédiés à André Haefliger [Essays on geometry and related topics: Memoirs dedicated to André Haefliger], vol. 2. Edited by É. Ghys, P. de la Harpe, V. F. R. Jones, V. Sergiescu, and T. Tsuboi. Monographies de l’Enseignement Mathématique 38. Enseignement Mathématique (Geneva), 2001. MR 1929335 Zbl 1019.46036 ArXiv math/0105071 incollection

[98] Essays on geometry and related topics: Mémoires dédiés à André Haefliger [Essays on geometry and related topics: Memoirs dedicated to André Haefliger], vol. 1. Edited by É. Ghys, P. de la Harpe, V. F. R. Jones, V. Sergiescu, and T. Tsuboi. Monographies de l’Enseignement Mathématique 38. Enseignement Mathématique (Geneva), 2001. MR 1929318 Zbl 0988.00114 book

[99] Essays on geometry and related topics: Mémoires dédiés à André Haefliger [Essays on geometry and related topics: Memoirs dedicated to André Haefliger], vol. 2. Edited by É. Ghys, P. de la Harpe, V. F. R. Jones, V. Sergiescu, and T. Tsuboi. Monographies de l’Enseignement Mathématique 38. Enseignement Mathématique (Geneva), 2001. Zbl 0988.00115 book

[100]
:
“Singly generated planar algebras of small dimension, II,”
Adv. Math.
175 : 2
(May 2003),
pp. 297–318.
Part I was published in *Duke Math. J.* **101**:1 (2000). Part III was published in *Trans. Am. Math. Soc.* **369**:14 (2017).
MR
1972635
Zbl
1041.46048
article

[101] : “Intersections of finite families of finite index subfactors,” Int. J. Math. 15 : 7 (2004), pp. 717–733. MR 2085101 Zbl 1059.46043 ArXiv math/0406331 article

[102]Special issue based on the 2nd international conference “Knots in Poland”
(Warsaw, 7–13 July 2003 and Będlewo, 14–27 July 2003),
published as Fundam. Math.
184.
Issue edited by V. F. R. Jones, V. Tuarev, B. Wajnryb, and J. H. Przytycki.
Polish Academy of Sciences, Institute of Mathematics (Warsaw),
2004.
Special volumes of *Fundamenta Mathematicae* based on this conference were also published in 2005 (188) and 2006 (190).
MR
2128038
Zbl
1065.57500
book

[103]Special issue based on the 2nd international conference “Knots in Poland”
(Warsaw, 7–13 July 2003 and Będlewo, 14–27 July 2003),
published as Fundam. Math.
188.
Issue edited by V. F. R. Jones, V. Tuarev, B. Wajnryb, and J. H. Przytycki.
Polish Academy of Sciences, Institute of Mathematics (Warsaw),
2005.
Special volumes of *Fundamenta Mathematicae* based on this conference were also published in 2004 (184) and 2006 (190).
MR
2193063
Zbl
1087.57500
book

[104] : “The Jones polynomial,” pp. 179–181 in Encyclopedia of mathematical physics, vol. 3. Edited by J.-P. Françoise, G. L. Naber, and S. T. Tsou. Elsevier (Amsterdam), 2006. incollection

[105] : “Highly transitive imprimitivities,” J. Algebra 300 : 1 (2006), pp. 44–56. MR 2228633 Zbl 1111.20001 article

[106] : “Hilbert space representations of the annular Temperley–Lieb algebra,” Pac. J. Math. 228 : 2 (2006), pp. 219–249. MR 2274519 Zbl 1131.46042 article

[107] : “A polynomial quantum algorithm for approximating the Jones polynomial,” pp. 427–436 in STOC’06: Proceedings of the 38th annual ACM symposium on theory of computing (Seattle, WA, 21–23 May 2006). Edited by J. M. Kleinberg. ACM Press (New York), 2006. MR 2277168 Zbl 1301.68129 incollection

[108]Special issue based on the 2nd international conference “Knots in Poland”
(Warsaw, 7–13 July 2003 and Będlewo, 14–27 July 2003),
published as Fundam. Math.
190.
Issue edited by V. F. R. Jones, V. Turev, B. Wajnryb, and J. H. Przytycki.
Polish Academy of Sciences, Institute of Mathematics (Warsaw),
2006.
Special volumes of *Fundamenta Mathematicae* based on this conference were also published in 2004 (184) and 2005 (188).
Zbl
1101.57300
book

[109] : “Intermediate subfactors with no extra structure,” J. Am. Math. Soc. 20 : 1 (2007), pp. 219–265. MR 2257402 Zbl 1131.46041 ArXiv math/0412423 article

[110] : “In and around the origin of quantum groups,” pp. 101–126 in Prospects in mathematical physics: Young researchers symposium of the 14th international congress on mathematical physics (Lisbon, 25–26 July 2003). Edited by J. C. Mourão, J. P. Nunes, R. Picken, and J.-C. Zambrini. Contemporary Mathematics 437. American Mathematical Society (Providence, RI), 2007. MR 2354658 Zbl 1129.81046 ArXiv math/0309199 incollection

[111]
:
“Two subfactors and the algebraic decomposition of bimodules over __\( \mathrm{II}_1 \)__ factors,”
Acta Math. Vietnam.
33 : 3
(2008),
pp. 209–218.
MR
2501843
Zbl
1182.46049
article

[112] : “Von Neumann algebras and ergodic theory of group actions,” Oberwolfach Rep. 5 : 4 (2008), pp. 2763–2814. MR 2568656 Zbl 1178.46003 article

[113] : “On the origin and development of subfactors and quantum topology,” Bull. Am. Math. Soc. (N.S.) 46 : 2 (2009), pp. 309–326. MR 2476415 Zbl 1169.46030 article

[114] : “A polynomial quantum algorithm for approximating the Jones polynomial,” Algorithmica 55 : 3 (2009), pp. 395–421. MR 2512029 Zbl 1191.68313 ArXiv quant-ph/0511096 article

[115] : “An orthogonal approach to the subfactor of a planar algebra,” Pac. J. Math. 246 : 1 (2010), pp. 187–197. MR 2645882 Zbl 1195.46067 ArXiv 0807.4146 article

[116] : “Random matrices, free probability, planar algebras and subfactors,” pp. 201–239 in Quanta of maths: Conference on non commutative geometry in honor of Alain Connes (Paris, 29 March–6 April 2007). Edited by E. Blanchard, D. Ellwood, M. Khalkhali, M. Marcolli, H. Moscovici, and S. Popa. Clay Mathematics Proceedings 11. American Mathematical Society (Providence, RI), 2010. MR 2732052 Zbl 1219.46057 ArXiv 0712.2904 incollection

[117] : “A semi-finite algebra associated to a subfactor planar algebra,” J. Funct. Anal. 261 : 5 (September 2011), pp. 1345–1360. MR 2807103 Zbl 1230.46054 article

[118] : “The embedding theorem for finite depth subfactor planar algebras,” Quantum Topol. 2 : 3 (2011), pp. 301–337. MR 2812459 Zbl 1230.46055 ArXiv 1007.3173 article

[119] : “Sir Vaughan Frederick Randal Jones,” Gac. R. Soc. Mat. Esp. 14 : 3 (2011), pp. 579–591. MR 2868302 article

[120] : “Quadratic tangles in planar algebras,” Duke Math. J. 161 : 12 (2012), pp. 2257–2295. MR 2972458 Zbl 1257.46033 ArXiv 1007.1158 article

[121] : “Loop models, random matrices and planar algebras,” Comm. Math. Phys. 316 : 1 (2012), pp. 45–97. MR 2989453 Zbl 1277.82013 ArXiv 1012.0609 article

[122] : “Subfactors of index less than 5, III: Quadruple points,” Comm. Math. Phys. 316 : 2 (2012), pp. 531–554. MR 2993924 Zbl 1272.46051 ArXiv 1109.3190 article

[123] : “On the symmetric enveloping algebra of planar algebra subfactors,” Trans. Am. Math. Soc. 366 : 1 (2014), pp. 113–133. MR 3118393 Zbl 1296.46054 ArXiv 1105.1721 article

[124] : “The classification of subfactors of index at most 5,” Bull. Am. Math. Soc. (N.S.) 51 : 2 (2014), pp. 277–327. MR 3166042 Zbl 1301.46039 ArXiv 1304.6141 article

[125] : “Pierre a septante ans” [Pierre is seventy], pp. 599–603 in Special issue on the occasion of Pierre de la Harpe’s 70th birthday, published as Groups Geom. Dyn. 8 : 3. European Publishing House (Zürich), 2014. MR 3267516 incollection

[126] : “Infinite index subfactors and the GICAR categories,” Comm. Math. Phys. 339 : 2 (2015), pp. 729–768. MR 3370617 Zbl 1338.46067 ArXiv 1410.0856 article

[127] : “Hilbert modules over a planar algebra and the Haagerup property,” J. Funct. Anal. 269 : 11 (December 2015), pp. 3634–3644. MR 3406863 Zbl 1339.46058 ArXiv 1503.02708 article

[128] : “Subfactors and conformal field theory,” Oberwolfach Rep. 12 : 2 (2015), pp. 849–926. MR 3443131 Zbl 1380.00034 article

[129] : “Von Neumann algebras in mathematics and physics,” pp. 285–321 in Introduction to modern mathematics. Edited by S.-Y. Cheng, L. Ji, Y.-S. Poon, J. Xiao, L. Yang, and S.-T. Yau. Advanced Lectures in Mathematics 33. International Press (Somerville, MA), 2015. This may have been an expanded republication of the author’s 1990 ICM lecture. MR 3445454 Zbl 1356.46001 incollection

[130] : “Uffe Haagerup — in memoriam,” Notices Am. Math. Soc. 63 : 1 (January 2016), pp. 48–49. MR 3410853 Zbl 1338.46005 article

[131] : “Knots, groups, subfactors and physics,” Jpn. J. Math. (3) 11 : 1 (2016), pp. 69–111. MR 3510680 Zbl 1361.46048 article

[132]
:
“Some unitary representations of Thompson’s groups __\( F \)__ and __\( T \)__,”
J. Comb. Algebra
1 : 1
(2017),
pp. 1–44.
MR
3589908
Zbl
06684911
ArXiv
1412.7740
article

[133]
:
“Singly generated planar algebras of small dimension, III,”
Trans. Am. Math. Soc.
369 : 4
(2017),
pp. 2461–2476.
Part I was published in *Duke Math. J.* **101**:1 (2000). Part II was published in *Adv. Math.* **175**:2 (2003).
MR
3592517
Zbl
1370.46036
ArXiv
1410.2876
article

[134] The 2014 Maui and 2015 Qinhuangdao conferences in honour of Vaughan F. R. Jones’ 60th birthday (Kihei, HI, 14–18 July 2014 and Qinhuangdao, China 13–17 July 2015). Edited by S. Morrison and D. Penneys. Proceedings of the Centre for Mathematics and its Applications 46. Australian National University (Canberra), 2017. MR 3635666 Zbl 1386.46002 book

[135] : “A no-go theorem for the continuum limit of a periodic quantum spin chain,” Comm. Math. Phys. 357 : 1 (2018), pp. 295–317. MR 3764571 Zbl 1397.82025 ArXiv 1607.08769 article

[136] : “Scale invariant transfer matrices and Hamiltonians,” J. Phys. A 51 : 10 (2018). article no. 104001, 27 pages. MR 3766219 Zbl 1387.82010 ArXiv 1706.00515 article

[137] : “The Homflypt polynomial and the oriented Thompson group,” Quantum Topol. 9 : 3 (2018), pp. 461–472. MR 3827807 Zbl 1397.57022 ArXiv 1609.02484 article

[138] Knots, low-dimensional topology and applications — Part I, published as J. Knot Theory Ramif. 28 : 11. Issue edited by C. C. Adams, C. M. Gordon, V. F. R. Jones, L. H. Kauffman, S. Lambropoulou, K. Millett, J. H. Przytycki, R. Ricca, and R. Sazdanovic. World Scientific (Singapore), 2019. book

[139] Knots, low-dimensional topology and applications — Part II, published as J. Knot Theory Ramif. 28 : 13. Issue edited by C. C. Adams, C. M. Gordon, V. F. R. Jones, L. H. Kauffman, S. Lambropoulou, K. Millett, J. H. Przytycki, R. Ricca, and R. Sazdanovic. World Scientific (Singapore), 2019. book

[140] : Irreducibility of the Wysiwyg representations of Thompson’s groups. Preprint, June 2019. ArXiv 1906.09619 techreport

[141] Knots, low-dimensional topology and applications: Knots in Hellas (Olympia, Greece, 17–23 July 2016). Edited by C. C. Adams, C. M. Gordon, V. F. R. Jones, L. H. Kauffman, S. Lambropoulou, K. C. Millett, J. H. Przytycki, R. Ricca, and R. Sazdanovic. Springer Proceedings in Mathematics & Statistics 284. Springer (Cham, Switzerland), 2019. MR 3986037 Zbl 1419.57001 book

[142] : “On the construction of knots and links from Thompson’s groups,” pp. 43–66 in Knots, low-dimensional topology and applications: Knots in Hellas (Olympia, Greece, 17–23 July 2016). Edited by C. C. Adams, C. M. Gordon, V. F. R. Jones, L. H. Kauffman, S. Lambropoulou, K. C. Millett, J. H. Przytycki, R. Ricca, and R. Sazdanovic. Springer Proceedings in Mathematics & Statistics 284. Springer (Cham, Switzerland), 2019. MR 3986040 Zbl 1423.57013 ArXiv 1810.06034 incollection

[143] : “Pythagorean representations of Thompson’s groups,” J. Funct. Anal. 277 : 7 (October 2019), pp. 2442–2469. MR 3989149 Zbl 07089431 ArXiv 1807.06215 article

[144] : “On the Haagerup and Kazhdan properties of R. Thompson’s groups,” J. Group Theory 22 : 5 (2019), pp. 795–807. MR 4000616 Zbl 07104291 ArXiv 1805.02177 article

[145] : “Preface” in Knots, low-dimensional topology and applications — Part I, published as J. Knot Theory Ramif. 28 : 11. Issue edited by C. C. Adams, C. M. Gordon, V. F. R. Jones, L. H. Kauffman, S. Lambropoulou, K. Millett, J. H. Przytycki, R. Ricca, and R. Sazdanovic. World Scientific (Singapore), October 2019. article no. 1902001, 7 pages. MR 4038325 Zbl 07139437 incollection

[146] : “Preface” in Knots, low-dimensional topology and applications — Part II, published as J. Knot Theory Ramif. 28 : 13. Issue edited by C. C. Adams, C. M. Gordon, V. F. R. Jones, L. H. Kauffman, S. Lambropoulou, K. Millett, J. H. Przytycki, R. Ricca, and R. Sazdanovic. World Scientific (Singapore), November 2019. article no. 1903001, 15 pages. MR 4070944 Zbl 07177773 incollection

[147] : Bergman space zero sets, modular forms, von Neumann algebras and ordered groups. Preprint, June 2020. ArXiv 2006.16419 techreport

[148]
:
Motzkin algebras and the __\( A_n \)__ tensor categories of bimodules.
Preprint,
August 2020.
ArXiv
2008.04487
techreport

[149]
:
“On spectral measures for certain unitary representations of R. Thompson’s group __\( F \)__,”
J. Funct. Anal.
280 : 1
(January 2020).
article no. 108777, 27 pages.
MR
4156130
ArXiv
1905.05806
article

[150] : “Memories of Vaughan Jones,” Notices Amer. Math. Soc. 68 : 9 (2021), pp. 1540–1563. MR 4323829 Zbl 1480.01028 article