Celebratio Mathematica

Vaughan F. R. Jones

Review:
“The annular structure of subfactors,”
by Vaughan Jones

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V. F. R. Jones: “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

V. F. R. Jones: “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

V. F. R. Jones: Planar al­geb­ras, I. Pre­print, September 1999. Zbl 1328.​46049 ArXiv math/​9909027 techreport

D. Bisch and V. Jones: “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

V. F. R. Jones: “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

V. F. R. Jones: “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

V. F. R. Jones and S. A. Reznikoff: “Hil­bert space rep­res­ent­a­tions of the an­nu­lar Tem­per­ley–Lieb al­gebra,” Pac. J. Math. 228 : 2 (2006), pp. 219–​249. MR 2274519 Zbl 1131.​46042 article

V. F. R. Jones and D. Pen­neys: “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