### Complete Bibliography

#### Filter the Bibliography List

Cohomology of homogeneous spaces,” Bull. Am. Math. Soc. 69 : 4 (1963), pp. 531–533. Based on the author’s PhD thesis (1963). MR 148804 Zbl 0152.40503 article

: “
Cohomology of homogeneous spaces.
Ph.D. thesis,
Princeton University,
1963.
Advised by J. C. Moore and N. Steenrod.
An article based on this was published in *Bull. Am. Math. Soc.* **69**:4 (1963).
MR
2613915
phdthesis

The cohomology of quotients of classical groups,” Topology 3 : 4 (June 1965), pp. 305–336. MR 189063 Zbl 0152.22101 article

: “Local isomorphism of compact connected Lie groups,” Pac. J. Math. 22 : 2 (February 1967), pp. 197–204. MR 213470 Zbl 0178.02802 article

: “Quadratic maps and stable homotopy groups of spheres,” Illinois J. Math. 11 : 4 (1967), pp. 586–595. MR 220285 Zbl 0166.19102 article

: “The real cohomology of differentiable fibre bundles,” Comment. Math. Helv. 42 : 1 (December 1967), pp. 171–179. MR 221522 Zbl 0166.19302 article

: “On the cohomology of homogeneous spaces,” Topology 7 : 1 (January 1968), pp. 15–38. MR 219085 Zbl 0158.42002 article

: “Infinitesimal isometries and Pontryagin numbers,” Topology 8 : 2 (April 1969), pp. 173–193. MR 238351 Zbl 0179.28802 article

: “On the zeroes of meromorphic vector-fields,” pp. 29–47 in Essays on topology and related topics: Mémoires dédiés à Georges de Rham [Essays on topology and related topics: Memoirs dedicated to Georges de Rham] (Geneva, 26–28 March 1969). Edited by A. Haefliger and R. Narasimhan. Springer (Berlin), 1970. MR 261635 Zbl 0193.52201 incollection

: “Vector fields and Gauss–Bonnet,” Bull. Am. Math. Soc. 76 : 6 (1970), pp. 1202–1211. Based on an invited address given at AMS Summer Meeting in Eugene, OR. MR 266255 Zbl 0203.54102 article

: “
Lectures on __\( K \)__-theory,”
pp. 223–238
in
Algebraic topology: A student’s guide.
Edited by J. F. Adams.
London Mathematical Society Lecture Note Series 4.
Cambridge University Press,
1972.
Notes prepared by Paul Baum. Lecture notes of the AMS Summer Topology Institute, Seattle 1963.
incollection

Singularities of holomorphic foliations,” J. Diff. Geom. 7 : 3–4 (1972), pp. 279–342. To S. S. Chern and D. C. Spencer on their 60th birthdays. MR 377923 Zbl 0268.57011 article

: “Chern classes and singularities of complex foliations. Preprint, Brown University, 1973. techreport

:Structure of foliation singularities,” Advances in Math. 15 : 3 (March 1975), pp. 361–374. Dedicated to Mark Baum on his seventieth birthday. MR 377125 Zbl 0296.57007 article

: “Riemann–Roch theorem for singular varieties,” pp. 3–16 in Differential geometry (Stanford, CA, 30 July–17 August 1973), part 2. Edited by S. S. Chern and R. Osserman. Proceedings of Symposia in Pure Mathematics 27. American Mathematical Society (Providence, RI), 1975. MR 389907 Zbl 0344.32021 incollection

: “Riemann–Roch for singular varieties,” Inst. Hautes Études Sci. Publ. Math. 45 (1975), pp. 101–145. MR 412190 Zbl 0332.14003 article

: “
Riemann–Roch and topological __\( K \)__-theory for singular varieties.
Preprint 42,
Aarhus University Mathematics Institute,
1977.
A version of this was later published in *Acta Math.* **143**:3–4 (1979).
Zbl
0355.14008
techreport

Lefschetz–Riemann–Roch for singular varieties.
Preprint 41,
Aarhus University Mathematics Institute,
1977.
A version of this was later published in *Acta Math.* **143**:3–4 (1979).
Zbl
0357.14004
techreport

Riemann–Roch and topological __\( K \)__ theory for singular varieties,”
Acta Math.
143 : 3–4
(1979),
pp. 155–192.
A preprint was published in 1977.
MR
549773
Zbl
0474.14004
article

Lefschetz–Riemann–Roch for singular varieties,” Acta Math. 143 : 3–4 (1979), pp. 193–211. A preprint version was published in 1977. MR 549774 Zbl 0454.14009 article

: “
Index theory, bordism, and __\( K \)__-homology,”
pp. 1–31
in
Operator algebras and __\( K \)__-theory
(San Francisco, 7–8 January 1981).
Edited by R. G. Douglas and C. Schochet.
Contemporary Mathematics 10.
American Mathematical Society (Providence, RI),
1982.
MR
658506
Zbl
0507.55004
incollection

Toeplitz operators and Poincaré duality,” pp. 137–166 in Toeplitz centennial: Toeplitz memorial conference in operator theory, dedicated to the 100th anniversary of the birth of Otto Toeplitz (Tel Aviv, 11–15 May 1981). Edited by I. Gohberg. Operator Theory: Advances and Applications 4. Birkhäuser (Basel), 1982. MR 669904 Zbl 0517.55001 incollection

: “
__\( K \)__ homology and index theory,”
pp. 117–173
in
Operator algebras and applications
(Kingston, ON, 14 July–2 August 1980),
part 1.
Edited by R. V. Kadison.
Proceedings of Symposia in Pure Mathematics 38.
American Mathematical Society (Providence, RI),
1982.
MR
679698
Zbl
0532.55004
incollection

Fixed point formula for singular varieties,” pp. 3–22 in Current trends in algebraic topology (London, ON, 29 June–10 July 1981), part 2. Edited by R. M. Kane. CMS Conference Proceedings 2. American Mathematical Society (Providence, RI), 1982. MR 686136 Zbl 0574.14018 incollection

: “Cohomologie équivariante délocalisée” [Delocalized equivariant cohomology], C. R. Acad. Sci. Paris Sér. I Math. 300 : 17 (1985), pp. 605–608. MR 791098 Zbl 0589.55003 article

: “Leafwise homotopy equivalence and rational Pontrjagin classes,” pp. 1–14 in Foliations (Tokyo, 14–18 July 1983). Edited by I. Tamura. Advanced Studies in Pure Mathematics 5. North-Holland (Amsterdam), 1985. MR 877325 Zbl 0641.57008 incollection

: “
__\( K \)__ theory for actions of discrete groups,”
pp. 1–12
in
Conferencias del taller de topología algebraica
[Conferences of the algebraic topology workshop].
Edited by L. Astey and E. Micha.
VI Coloquio del Departamento de Matemáticas.
CINVESTAV-IPN (Mexico City),
1986.
incollection

Chern character for discrete groups,” pp. 163–232 in A fête of topology: Papers dedicated to Itiro Tamura. Edited by Y. Matsumoto, T. Mizutani, and S. Morita. Academic Press (Boston), 1988. MR 928402 Zbl 0656.55005 incollection

: “
__\( K \)__-theory for discrete groups,”
pp. 1–20
in
Operator algebras and applications
(Warwick, UK, 20–25 July 1987),
vol. 1: Structure theory; __\( K \)__-theory, geometry and topology.
Edited by D. Evans and M. Takesaki.
London Mathematical Society Lecture Note Series 135.
Cambridge University Press,
1988.
MR
996437
Zbl
0685.46041
incollection

Cycles and relative cycles in analytic __\( K \)__-homology,”
J. Diff. Geom.
30 : 3
(1989),
pp. 761–804.
MR
1021372
Zbl
0697.58050
article

Equivariant bicycles on singular spaces,” C. R. Acad. Sci. Paris Sér. I Math. 311 : 2 (1990), pp. 115–120. MR 1065441 Zbl 0719.19003 article

: “
Relative __\( K \)__ homology and __\( C^* \)__ algebras,”
__\( K \)__-Theory
5 : 1
(1991),
pp. 1–46.
MR
1141333
Zbl
0755.46035
article

The Dirac operator,” pp. 163–167 in : Manifolds and modular forms, 2nd edition. Aspects of Mathematics 20. Vieweg (Wiesbaden), 1992. Appendix II. incollection

: “
Excess intersection in equivariant bivariant __\( K \)__-theory,”
C. R. Acad. Sci. Paris Sér. I Math.
314 : 5
(1992),
pp. 387–392.
With abridged French version.
MR
1153721
Zbl
0762.19008
article

Equivariant homology for __\( \mathrm{SL}(2) \)__ of a __\( p \)__-adic field,”
pp. 1–18
in
Index theory and operator algebras
(Boulder, CO, 6–10 August 1991).
Edited by J. Fox and P. Haskell.
Contemporary Mathematics 148.
American Mathematical Society (Providence, RI),
1993.
MR
1228497
Zbl
0844.46043
incollection

Classifying space for proper actions and __\( K \)__-theory of group __\( C^* \)__-algebras,”
pp. 241–291
in
__\( C^* \)__-algebras: 1943–1993
(San Antonio, TX, 13–14 January 1993).
Edited by R. S. Doran.
Contemporary Mathematics 167.
American Mathematical Society (Providence, RI),
1994.
MR
1292018
Zbl
0830.46061
incollection

Cosheaf homology and __\( K \)__ theory for __\( p \)__-adic groups.
Preprint,
Pennsylvania State University,
1995.
techreport

Working with Bott (rocking and rolling with Raoul),” pp. xxii–xxiii in Raoul Bott: Collected papers, vol. 3: Foliations. Edited by R. MacPherson. Contemporary Mathematicians. Birkhäuser (Boston), 1995. MR 1321887 incollection

: “
A proof of the Baum–Connes conjecture for __\( p \)__-adic __\( \mathrm{GL}(n) \)__,”
C. R. Acad. Sci. Paris Sér. I Math.
325 : 2
(July 1997),
pp. 171–176.
MR
1467072
Zbl
0918.46061
article

Representation theory of __\( p \)__-adic groups: A view from operator algebras,”
pp. 111–149
in
The mathematical legacy of Harish-Chandra: A celebration of representation theory and harmonic analysis
(Baltimore, MD, 9–10 January 1998).
Edited by R. Doran and V. Varadarajan.
Proceedings of Symposia in Pure Mathematics 68.
American Mathematical Society (Providence, RI),
2000.
MR
1767895
Zbl
0982.19006
incollection

Geometric __\( K \)__-theory for Lie groups and foliations,”
Enseign. Math. (2)
46 : 1–2
(2000),
pp. 3–42.
MR
1769535
Zbl
0985.46042
article

A proof of the Baum–Connes conjecture for reductive adelic groups,” C. R. Acad. Sci. Paris Sér. I Math. 332 : 3 (February 2001), pp. 195–200. MR 1817360 Zbl 1105.19300 article

: “Periodic cyclic homology of Iwahori–Hecke algebras,” C. R. Acad. Sci. Paris Sér. I Math. 332 : 9 (May 2001), pp. 783–788. MR 1836086 Zbl 1013.16003 article

: “
Equivariant-bivariant Chern character for profinite groups,”
__\( K \)__-Theory
25 : 4
(2002),
pp. 313–353.
MR
1914452
Zbl
0997.55010
article

Periodic cyclic homology of Iwahori–Hecke algebras,”
__\( K \)__-Theory
27 : 4
(December 2002),
pp. 329–357.
MR
1962907
Zbl
1056.16005
article

Local-global principle for the Baum–Connes conjecture with coefficients,”
__\( K \)__-Theory
28 : 1
(2003),
pp. 1–18.
MR
1988816
Zbl
1034.46073
article

Equivariant __\( KK \)__-theory and noncommutative index theory,
2004.
Part VI of e-book “Lecture notes on noncommutative geometry and quantum groups” (European Mathematical Society, ed. Piotr M. Hajac).
misc

The Baum–Connes conjecture, localization of categories and quantum groups, 2004. Part VIII of e-book “Lecture notes on noncommutative geometry and quantum groups” (European Mathematical Society, ed. Piotr M. Hajac). misc

:
Foliations, __\( C^* \)__-algebras and index theory,
2004.
Part II of e-book “Lecture notes on noncommutative geometry and quantum groups” (European Mathematical Society, ed. Piotr M. Hajac).
misc

On the Baum–Connes conjecture in the real case,” Q. J. Math. 55 : 3 (September 2004), pp. 231–235. MR 2082090 Zbl 1064.19003 ArXiv math/0509495 article

: “On the index of equivariant elliptic operators,” pp. 41–49 in Operator algebras, quantization, and noncommutative geometry: A centennial celebration honoring John von Neumann and Marshall H. Stone. Edited by R. Doran and R. V. Kadison. Contemporary Mathematics 365. American Mathematical Society (Providence, RI), 2004. MR 2106816 Zbl 1081.46047 incollection

: “
The __\( K \)__-theory of Heegaard-type quantum 3-spheres,”
__\( K \)__-Theory
35 : 1–2
(2005),
pp. 159–186.
Dedicated to the memory of Olaf Richter.
An erratum to this was published in *K-Theory* **37**:1–2 (2006).
MR
2240219
Zbl
1111.46051
article

Erratum: ‘The __\( K \)__-theory of Heegaard-type quantum 3-spheres’,”
__\( K \)__-Theory
37 : 1–2
(2006),
pp. 211.
Erratum to an article published in *K-Theory* **35**:1–2 (2005).
MR
2274673
Zbl
1210.46054
article

The Hecke algebra of a reductive __\( p \)__-adic group: A geometric conjecture,”
pp. 1–34
in
Noncommutative geometry and number theory: Where arithmetic meets geometry and physics
(Bonn, Germany, August 2003 and June 2004).
Edited by C. Consani and M. Marcolli.
Aspects of Mathematics 37.
Vieweg (Wiesbaden, Germany),
2006.
MR
2327297
Zbl
1120.14001
incollection

Non-commutative geometry approach to principal and associated bundles. Preprint, 2007. ArXiv math/0701033v2 techreport

:
On the equivalence of geometric and analytic __\( K \)__-homology,”
pp. 1–24
in
Special issue: In honor of Robert D. MacPherson, Part 3,
published as Pure Appl. Math. Q.
3 : 1.
International Press (Sommerville, MA),
2007.
MR
2330153
Zbl
1146.19004
incollection

Geometric structure in the representation theory of __\( p \)__-adic groups,”
C. R. Math. Acad. Sci. Paris
345 : 10
(2007),
pp. 573–578.
Part II was published in *Harmonic analysis on reductive,* __\( p \)__-*adic groups* (2011), but with “reductive” in the title.
MR
2374467
Zbl
1128.22009
article

The extended quotient,” pp. 23–26 in Guido’s Book of Conjectures: A gift to Guido Mislin on the occasion of his retirement from ETHZ, June 2006. Edited by I. Chatterji. Monographies de L’Enseignement Mathématique 40. Enseignement Mathématique (Geneva), 2008. incollection

: “
Dirac operator and __\( K \)__-theory for discrete groups,”
pp. 97–107
in
A celebration of the mathematical legacy of Raoul Bott
(Montreal, 9–13 June 2008).
Edited by P. R. Kotiuga.
CRM Proceedings & Lecture Notes 50.
American Mathematical Society (Providence, RI),
2010.
MR
2648889
Zbl
1201.19001
incollection

__\( K \)__-homology and D-branes,”
pp. 81–94
in
Superstrings, geometry, topology, and __\( C^* \)__-algebras
(Fort Worth, TX, 18–22 May 2009).
Edited by R. S. Doran, G. Friedman, and J. Rosenberg.
Proceedings of Symposia in Pure Mathematics 81.
American Mathematical Society (Providence, RI),
2010.
MR
2681759
Zbl
1210.81079
incollection

A geometric description of equivariant __\( K \)__-homology for proper actions,”
pp. 1–22
in
Quanta of maths: Proceedings of meeting in honor of Alain Connes’ 60th birthday.
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
2732043
Zbl
1216.19006
ArXiv
0907.2066
incollection

Equivariant geometric __\( K \)__-homology for compact Lie group actions,”
Abh. Math. Semin. Univ. Hambg.
80 : 2
(2010),
pp. 149–173.
MR
2734682
Zbl
1242.19006
article

Topics in algebraic and topological __\( K \)__-theory
(Sedano, Spain, 22–27 January 2007).
Edited by G. Cortiñas.
Lecture Notes in Mathematics 2008.
Springer (Berlin),
2011.
MR
2761828
Zbl
1202.19001
book

__\( K \)__-theory for group __\( C^* \)__-algebras,”
pp. 1–43
in
Topics in algebraic and topological __\( K \)__-theory
(Sedano, Spain, 22–27 January 2007).
Edited by G. Cortiñas.
Lecture Notes in Mathematics 2008.
Springer (Berlin),
2011.
MR
2762553
Zbl
1216.19001
incollection

Geometric structure in the principal series of the __\( p \)__-adic group __\( \textrm{G}_2 \)__,”
Represent. Theory
15
(2011),
pp. 126–169.
MR
2772586
Zbl
1268.22015
article

Geometric structure in the representation theory of reductive __\( p \)__-adic groups, II,”
pp. 71–90
in
Harmonic analysis on reductive, __\( p \)__-adic groups
(San Francisco, 16 January 2010).
Edited by R. S. Doran, P. J. Sally, Jr., and L. Spice.
Contemporary Mathematics 543.
American Mathematical Society (Providence, RI),
2011.
Part I was published in *C. R. Math. Acad. Sci. Paris* **345**:10 (2007), doesn’t include “reductive” in title.
MR
2798423
Zbl
1246.22019
incollection

Geometric structure and the local Langlands conjecture. Preprint, 2012. ArXiv 1211.0180 techreport

:
__\( K \)__-cycles for twisted __\( K \)__-homology,”
pp. 69–98
in
Nanjing special issue on K-theory, number theory and geometry,
published as J. K-Theory
12 : 1.
Issue edited by X. Guo, H. Qin, and G. Tang.
Cambridge University Press,
August 2013.
MR
3126635
Zbl
1300.19003
incollection

Local proof of algebraic characterization of free actions” in Special issue on noncommutative geometry and quantum groups in honor of Marc A. Rieffel, published as SIGMA 10. Issue edited by G. Elliott, P. M. Hajac, H. Li, and J. Rosenberg. 2014. paper no. 060. MR 3226990 Zbl 1295.22010 ArXiv 1402.3024 incollection

: “Geometric structure in smooth dual and local Langlands conjecture,” Jpn. J. Math. 9 : 2 (September 2014), pp. 99–136. Expository article based on the Takagi lectures. MR 3258616 Zbl 1371.11097 article

: “
__\( K \)__-homology and index theory on contact manifolds,”
Acta Math.
213 : 1
(2014),
pp. 1–48.
Dedicated to Sir Michael Atiyah on the occasion of his 85th birthday with admiration and affection.
MR
3261009
Zbl
1323.58017
article

On the local Langlands correspondence for non-tempered representations,” Münster J. Math. 7 : 1 (2014), pp. 27–50. Dedicated to Peter Schneider on the occasion of his 60th birthday. MR 3271238 Zbl 06382808 ArXiv 1303.0828 article

: “Noncommutative Borsuk–Ulam-type conjectures,” pp. 9–18 in From Poisson brackets to universal quantum symmetries (Warsaw, 18–22 August 2014). Edited by N. Ciccoli and A. Sitarz. Banach Center Publications 106. Instytut Matematyczny PAN (Warsaw), 2015. MR 3469159 Zbl 1343.46064 incollection

: “
__\( K \)__-homology and Fredholm operators I: Dirac operators.
Preprint,
2016.
ArXiv
1604.03502
techreport

__\( K \)__-homology and Fredholm operators II: Elliptic operators.
Preprint,
2016.
ArXiv
1604.03535
techreport

Expanders, exact crossed products, and the Baum–Connes conjecture,” Ann. K-Theory 1 : 2 (2016), pp. 155–208. MR 3514939 Zbl 1331.46064 article

: “
Geometric structure for the principal series of a split reductive __\( p \)__-adic group with connected centre,”
J. Noncommut. Geom.
10 : 2
(2016),
pp. 663–680.
MR
3519048
Zbl
1347.22013
article

Exactness and the Kadison–Kaplansky conjecture,” pp. 1–33 in Operator algebras and their applications: A tribute to Richard V. Kadison (San Antonio, TX, 10–11 January 2015). Edited by R. S. Doran and E. Park. Contemporary Mathematics 671. American Mathematical Society (Providence, RI), 2016. Dedicated to Richard Kadison on the occasion of his ninetieth birthday with affection and admiration. MR 3546676 Zbl 1366.46045 incollection

: “
The local Langlands correspondence for inner forms of __\( \mathrm{SL}_n \)__,”
Res. Math. Sci.
3
(2016).
paper no. 32.
MR
3579297
Zbl
06663301
article

Depth and the local Langlands correspondence,” pp. 17–41 in Arbeitstagung Bonn 2013: In memory of Friedrich Hirzebruch (Bonn, Germany, 22–28 May 2013). Edited by W. Ballmann, C. Blohmann, G. Faltings, P. Teichner, and D. Zagier. Progress in Mathematics 319. Birkhäuser/Springer International (Cham, Switzerland), 2016. MR 3618046 Zbl 06748683 incollection

: “
__\( K \)__-homology and Fredholm operators, II: Elliptic
operators,”
Pure Appl. Math. Q.
12 : 2
(2016),
pp. 225–241.
MR
3767216
article

On the spectra of finite type algebras. Preprint, 2017. ArXiv 1705.01404 techreport

:
Hecke algebras for inner forms of __\( p \)__-adic special linear groups,”
J. Inst. Math. Jussieu
16 : 2
(2017),
pp. 351–419.
MR
3615412
Zbl
06704330
article

The principal series of __\( p \)__-adic groups with disconnected center,”
Proc. Lond. Math. Soc. (3)
114 : 5
(2017),
pp. 798–854.
MR
3653247
Zbl
06778792
article

Free actions of compact quantum groups on unital __\( C^* \)__-algebras,”
Doc. Math.
22
(2017),
pp. 825–849.
MR
3665403
Zbl
06810396
ArXiv
1304.2812v1
article

Conjectures about __\( p \)__-adic groups and their noncommutative geometry,”
pp. 15–51
in
Around Langlands correspondences
(Orsay, France, 17–20 June 2015).
Edited by F. Brumley, M. P. Gómez Aparicio, and A. Minguez.
Contemporary Mathematics 691.
American Mathematical Society (Providence, RI),
2017.
MR
3666049
ArXiv
1508.02837
incollection

__\( K \)__-homology and Fredholm operators, I: Dirac
operators,”
J. Geom. Phys.
134
(2018),
pp. 101–118.
MR
3886929
article

Smooth duals of inner forms of __\( \mathrm{ GL}_n \)__ and __\( \mathrm{
SL}_n \)__,”
Doc. Math.
24
(2019),
pp. 373–420.
MR
3960124
article