## Baum, Paul Frank

Compute Distance To:
 Author ID: baum.paul-f Published as: Baum, Paul; Baum, Paul F.; Baum, P. F.; Baum, P. more...less External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 74 Publications since 1963, including 2 Books 1 Further Contribution Biographic References: 2 Publications Co-Authors: 37 Co-Authors with 64 Joint Publications 903 Co-Co-Authors
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### Co-Authors

 11 single-authored 19 Plymen, Roger J. 14 Aubert, Anne-Marie 10 Solleveld, Maarten 6 Connes, Alain 6 Higson, Nigel 5 Douglas, Ronald George 5 Fulton, William 5 Hajac, Piotr M. 4 MacPherson, Robert Duncan 4 van Erp, Erik 3 Schick, Thomas 2 Block, Jonathan L. 2 Bott, Raoul Harry 2 Guentner, Erik Paul 2 Matthes, Rainer 2 Millington, Stephen 2 Nistor, Victor 2 Quart, George 2 Szymański, Wojciech 2 Willett, Rufus 1 Bowen, Ray M. 1 Browder, William 1 Brown, Larry 1 Brylinski, Jean-Luc 1 Carey, Alan L. 1 Cheeger, Jeff 1 Coburn, Lewis A. 1 Dabrowski, Ludwik 1 De Commer, Kenny 1 Douglas, Michael R. 1 Ehberger, D. 1 Helton, John William 1 Howe, Roger Evans 1 Hutchins, Shana 1 Kaminker, Jerome 1 Karoubi, Max 1 Kealhofer, C. 1 Krausz, F. 1 Lewis, Albert C. 1 Misra, Gadadhar 1 Oyono-Oyono, Hervé 1 Sánchez-García, Rubén J. 1 Schneider, Peter 1 Smith, Larry 1 Straube, Emil J. 1 Tang, Xiang 1 Taylor, Michael Eugene 1 Walter, Michael 1 Wang, Bailing 1 Yu, Guoliang
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### Serials

 6 $$K$$-Theory 3 Acta Mathematica 3 Topology 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Journal of Differential Geometry 2 Documenta Mathematica 2 The Quarterly Journal of Mathematics 2 Bulletin of the American Mathematical Society 2 Pure and Applied Mathematics Quarterly 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Advances in Mathematics 1 Commentarii Mathematici Helvetici 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 L’Enseignement Mathématique. 2e Série 1 Notices of the American Mathematical Society 1 Representation Theory 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Noncommutative Geometry 1 Science 1 Münster Journal of Mathematics 1 Journal of $$K$$-Theory 1 Japanese Journal of Mathematics. 3rd Series 1 Research in the Mathematical Sciences 1 Annals of $$K$$-Theory
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### Fields

 22 Functional analysis (46-XX) 21 $$K$$-theory (19-XX) 18 Algebraic topology (55-XX) 16 Group theory and generalizations (20-XX) 16 Topological groups, Lie groups (22-XX) 15 Global analysis, analysis on manifolds (58-XX) 10 Algebraic geometry (14-XX) 7 Manifolds and cell complexes (57-XX) 5 Associative rings and algebras (16-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Operator theory (47-XX) 4 Differential geometry (53-XX) 3 Number theory (11-XX) 2 Partial differential equations (35-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

67 Publications have been cited 993 times in 744 Documents Cited by Year
Classifying space for proper actions and $$K$$-theory of group $$C^*$$- algebras. Zbl 0830.46061
Baum, Paul; Connes, Alain; Higson, Nigel
1994
Riemann-Roch for singular varieties. Zbl 0332.14003
Baum, Paul; Fulton, William; MacPherson, Robert
1975
Singularities of holomorphic foliations. Zbl 0268.57011
Baum, Paul; Bott, Raoul
1972
Riemann-Roch and topological K-theory for singular varieties. Zbl 0474.14004
Baum, Paul; Fulton, William; MacPherson, Robert
1979
The cohomology of quotients of classical groups. Zbl 0152.22101
Baum, P. F.; Browder, W.
1965
Geometric $$K$$-theory for Lie groups and foliations. Zbl 0985.46042
Baum, Paul; Connes, Alain
2000
On the cohomology of homogeneous spaces. Zbl 0158.42002
Baum, Paul F.
1968
On the equivalence of geometric and analytic $$K$$-homology. Zbl 1146.19004
Baum, Paul; Higson, Nigel; Schick, Thomas
2007
On the zeroes of meromorphic vector-fields. Zbl 0193.52201
Baum, Paul F.; Bott, Raoul
1970
Cycles and relative cycles in analytic K-homology. Zbl 0697.58050
Baum, Paul; Douglas, Ronald G.; Taylor, Michael E.
1989
K homology and index theory. Zbl 0532.55004
Baum, Paul; Douglas, Ronald G.
1982
Lefschetz-Riemann-Roch for singular varieties. Zbl 0454.14009
Baum, Paul; Fulton, William; Quart, George
1979
Chern character for discrete groups. Zbl 0656.55005
Baum, Paul; Connes, Alain
1988
Expanders, exact crossed products, and the Baum-Connes conjecture. Zbl 1331.46064
Baum, Paul; Guentner, Erik; Willett, Rufus
2016
Index theory, bordism, and K-homology. Zbl 0507.55004
Baum, Paul; Douglas, Ronald G.
1982
Free actions of compact quantum groups on unital $$C^\ast$$-algebras. Zbl 1386.46055
Baum, Paul F.; De Commer, Kenny; Hajac, Piotr M.
2017
A geometric description of equivariant K-homology for proper actions. Zbl 1216.19006
Baum, Paul; Higson, Nigel; Schick, Thomas
2010
The principal series of $$p$$-adic groups with disconnected center. Zbl 1383.20033
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2017
On the Baum-Connes conjecture in the real case. Zbl 1064.19003
Baum, Paul; Karoubi, Max
2004
The Hecke algebra of a reductive $$p$$-adic group: a geometric conjecture. Zbl 1120.14001
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger
2006
The local Langlands correspondence for inner forms of $$\mathrm{SL}_{n}$$. Zbl 1394.22015
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2016
K-theory for discrete groups. Zbl 0685.46041
Baum, Paul; Connes, Alain
1988
The $$K$$-theory of Heegaard-type quantum 3-spheres. Zbl 1111.46051
Baum, Paul F.; Hajac, Piotr M.; Matthes, Rainer; Szymański, Wojciech
2005
Geometric structure in smooth dual and local Langlands conjecture. Zbl 1371.11097
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2014
Periodic cyclic homology of Iwahori-Hecke algebras. Zbl 1056.16005
Baum, Paul; Nistor, Victor
2002
Equivariant geometric K-homology for compact Lie group actions. Zbl 1242.19006
Baum, Paul; Oyono-Oyono, Hervé; Schick, Thomas; Walter, Michael
2010
Quadratic maps and stable homotopy groups of spheres. Zbl 0166.19102
Baum, P. F.
1967
The real cohomology of differentiable fibre bundles. Zbl 0166.19302
Baum, Paul; Smith, Larry
1967
On the local Langlands correspondence for non-tempered representations. Zbl 1408.22017
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2014
Leafwise homotopy equivalence and rational Pontrjagin classes. Zbl 0641.57008
Baum, Paul; Connes, Alain
1985
Relative $$K$$ homology and $$C^*$$ algebras. Zbl 0755.46035
Baum, Paul; Douglas, Ronald G.
1991
A proof of the Baum-Connes conjecture for $$p$$-adic $$GL(n)$$. Zbl 0918.46061
Baum, Paul; Higson, Nigel; Plymen, Roger
1997
Depth and the local Langlands correspondence. Zbl 1388.22010
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2016
Cohomologie équivariante délocalisée. (Delocalized equivariant cohomology). Zbl 0589.55003
Baum, Paul; Brylinski, Jean-Luc; MacPherson, Robert
1985
Structure of foliation singularities. Zbl 0296.57007
Baum, Paul
1975
Representation theory of $$p$$-adic groups: A view from operator algebras. Zbl 0982.19006
Baum, P. F.; Higson, N.; Plymen, R. J.
2000
Noncommutative Borsuk-Ulam-type conjectures. Zbl 1343.46064
Baum, Paul F.; Dąbrowski, Ludwik; Hajac, Piotr M.
2015
Infinitesimal isometries and Pontryagin numbers. Zbl 0179.28802
Baum, P. F.; Cheeger, J.
1969
Hecke algebras for inner forms of $$p$$-adic special linear groups. Zbl 1436.20090
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2017
Conjectures about $$p$$-adic groups and their noncommutative geometry. Zbl 1468.22020
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2017
Geometric structure in the principal series of the $$p$$-adic group $$\mathbf G_2$$. Zbl 1268.22015
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger
2011
Geometric structure in the representation theory of $$p$$-adic groups. Zbl 1128.22009
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger
2007
$$K$$-homology and index theory on contact manifolds. Zbl 1323.58017
Baum, Paul F.; van Erp, Erik
2014
Equivariant bicycles on singular spaces. Zbl 0719.19003
Baum, Paul; Block, Jonathan
1990
Geometric structure for the principal series of a split reductive $$p$$-adic group with connected centre. Zbl 1347.22013
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2016
Equivariant homology for $$SL(2)$$ of a $$p$$-adic field. Zbl 0844.46043
Baum, Paul; Higson, Nigel; Plymen, Roger
1993
Local Isomorphism of compact connected Lie groups. Zbl 0178.02802
Baum, P. F.
1967
$$K$$-homology and Fredholm operators. II: Elliptic operators. Zbl 1445.58011
Baum, Paul F.; van Erp, Erik
2016
Smooth duals of inner forms of $$\mathrm{GL}_n$$ and $$\mathrm{SL}_n$$. Zbl 1475.20074
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2019
Cohomology of homogeneous spaces. Zbl 0152.40503
Baum, P. F.
1963
Vector fields and Gauss-Bonnet. Zbl 0203.54102
Baum, P. F.
1970
$$K$$-cycles for twisted $$K$$-homology. Zbl 1300.19003
Baum, Paul; Carey, Alan; Wang, Bai-Ling
2013
Equivariant-bivariant Chern character for profinite groups. Zbl 0997.55010
Baum, P.; Schneider, P.
2002
Excess intersection in equivariant bivariant $$K$$-theory. Zbl 0762.19008
Baum, Paul; Block, Jonathan
1992
Exactness and the Kadison-Kaplansky conjecture. Zbl 1366.46045
Baum, Paul; Guentner, Erik; Willett, Rufus
2016
Geometric structure in the representation theory of reductive $$p$$-adic groups. II. Zbl 1246.22019
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger
2011
Lefschetz-Riemann-Roch for singular varieties. Zbl 0357.14004
Baum, Paul; Fulton, William; Quart, George
1977
Toeplitz operators and Poincaré duality. Zbl 0517.55001
Baum, Paul; Douglas, Ronald G.
1982
Local proof of algebraic characterization of free actions. Zbl 1295.22010
Baum, Paul F.; Hajac, Piotr M.
2014
$$K$$-homology and Fredholm operators. I: Dirac operators. Zbl 1409.58014
Baum, Paul F.; van Erp, Erik
2018
Local-global principle for the Baum-Connes conjecture with coefficients. Zbl 1034.46073
Baum, Paul; Millington, Stephen; Plymen, Roger
2003
A proof of the Baum-Connes conjecture for reductive adelic groups. Zbl 1105.19300
Baum, Paul; Millington, Stephen; Plymen, Roger
2001
Periodic cyclic homology of Iwahori-Hecke algebras. Zbl 1013.16003
Baum, Paul; Nistor, Victor
2001
$$K$$-homology and D-branes. Zbl 1210.81079
Baum, Paul
2010
$$K$$-theory for group $$C^*$$-algebras. Zbl 1216.19001
Baum, Paul F.; Sánchez-García, Rubén J.
2011
Ronald G. Douglas: a master in the art of transcending problems. Zbl 1427.01030
Yu, Guoliang; Howe, Roger; Hutchins, Shana
2019
All-optical control and metrology of electron pulses. Zbl 1355.78007
Kealhofer, C.; Schneider, W.; Ehberger, D.; Ryabov, A.; Krausz, F.; Baum, P.
2016
Smooth duals of inner forms of $$\mathrm{GL}_n$$ and $$\mathrm{SL}_n$$. Zbl 1475.20074
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2019
Ronald G. Douglas: a master in the art of transcending problems. Zbl 1427.01030
Yu, Guoliang; Howe, Roger; Hutchins, Shana
2019
$$K$$-homology and Fredholm operators. I: Dirac operators. Zbl 1409.58014
Baum, Paul F.; van Erp, Erik
2018
Free actions of compact quantum groups on unital $$C^\ast$$-algebras. Zbl 1386.46055
Baum, Paul F.; De Commer, Kenny; Hajac, Piotr M.
2017
The principal series of $$p$$-adic groups with disconnected center. Zbl 1383.20033
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2017
Hecke algebras for inner forms of $$p$$-adic special linear groups. Zbl 1436.20090
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2017
Conjectures about $$p$$-adic groups and their noncommutative geometry. Zbl 1468.22020
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2017
Expanders, exact crossed products, and the Baum-Connes conjecture. Zbl 1331.46064
Baum, Paul; Guentner, Erik; Willett, Rufus
2016
The local Langlands correspondence for inner forms of $$\mathrm{SL}_{n}$$. Zbl 1394.22015
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2016
Depth and the local Langlands correspondence. Zbl 1388.22010
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2016
Geometric structure for the principal series of a split reductive $$p$$-adic group with connected centre. Zbl 1347.22013
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2016
$$K$$-homology and Fredholm operators. II: Elliptic operators. Zbl 1445.58011
Baum, Paul F.; van Erp, Erik
2016
Exactness and the Kadison-Kaplansky conjecture. Zbl 1366.46045
Baum, Paul; Guentner, Erik; Willett, Rufus
2016
All-optical control and metrology of electron pulses. Zbl 1355.78007
Kealhofer, C.; Schneider, W.; Ehberger, D.; Ryabov, A.; Krausz, F.; Baum, P.
2016
Noncommutative Borsuk-Ulam-type conjectures. Zbl 1343.46064
Baum, Paul F.; Dąbrowski, Ludwik; Hajac, Piotr M.
2015
Geometric structure in smooth dual and local Langlands conjecture. Zbl 1371.11097
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2014
On the local Langlands correspondence for non-tempered representations. Zbl 1408.22017
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger; Solleveld, Maarten
2014
$$K$$-homology and index theory on contact manifolds. Zbl 1323.58017
Baum, Paul F.; van Erp, Erik
2014
Local proof of algebraic characterization of free actions. Zbl 1295.22010
Baum, Paul F.; Hajac, Piotr M.
2014
$$K$$-cycles for twisted $$K$$-homology. Zbl 1300.19003
Baum, Paul; Carey, Alan; Wang, Bai-Ling
2013
Geometric structure in the principal series of the $$p$$-adic group $$\mathbf G_2$$. Zbl 1268.22015
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger
2011
Geometric structure in the representation theory of reductive $$p$$-adic groups. II. Zbl 1246.22019
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger
2011
$$K$$-theory for group $$C^*$$-algebras. Zbl 1216.19001
Baum, Paul F.; Sánchez-García, Rubén J.
2011
A geometric description of equivariant K-homology for proper actions. Zbl 1216.19006
Baum, Paul; Higson, Nigel; Schick, Thomas
2010
Equivariant geometric K-homology for compact Lie group actions. Zbl 1242.19006
Baum, Paul; Oyono-Oyono, Hervé; Schick, Thomas; Walter, Michael
2010
$$K$$-homology and D-branes. Zbl 1210.81079
Baum, Paul
2010
On the equivalence of geometric and analytic $$K$$-homology. Zbl 1146.19004
Baum, Paul; Higson, Nigel; Schick, Thomas
2007
Geometric structure in the representation theory of $$p$$-adic groups. Zbl 1128.22009
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger
2007
The Hecke algebra of a reductive $$p$$-adic group: a geometric conjecture. Zbl 1120.14001
Aubert, Anne-Marie; Baum, Paul; Plymen, Roger
2006
The $$K$$-theory of Heegaard-type quantum 3-spheres. Zbl 1111.46051
Baum, Paul F.; Hajac, Piotr M.; Matthes, Rainer; Szymański, Wojciech
2005
On the Baum-Connes conjecture in the real case. Zbl 1064.19003
Baum, Paul; Karoubi, Max
2004
Local-global principle for the Baum-Connes conjecture with coefficients. Zbl 1034.46073
Baum, Paul; Millington, Stephen; Plymen, Roger
2003
Periodic cyclic homology of Iwahori-Hecke algebras. Zbl 1056.16005
Baum, Paul; Nistor, Victor
2002
Equivariant-bivariant Chern character for profinite groups. Zbl 0997.55010
Baum, P.; Schneider, P.
2002
A proof of the Baum-Connes conjecture for reductive adelic groups. Zbl 1105.19300
Baum, Paul; Millington, Stephen; Plymen, Roger
2001
Periodic cyclic homology of Iwahori-Hecke algebras. Zbl 1013.16003
Baum, Paul; Nistor, Victor
2001
Geometric $$K$$-theory for Lie groups and foliations. Zbl 0985.46042
Baum, Paul; Connes, Alain
2000
Representation theory of $$p$$-adic groups: A view from operator algebras. Zbl 0982.19006
Baum, P. F.; Higson, N.; Plymen, R. J.
2000
A proof of the Baum-Connes conjecture for $$p$$-adic $$GL(n)$$. Zbl 0918.46061
Baum, Paul; Higson, Nigel; Plymen, Roger
1997
Classifying space for proper actions and $$K$$-theory of group $$C^*$$- algebras. Zbl 0830.46061
Baum, Paul; Connes, Alain; Higson, Nigel
1994
Equivariant homology for $$SL(2)$$ of a $$p$$-adic field. Zbl 0844.46043
Baum, Paul; Higson, Nigel; Plymen, Roger
1993
Excess intersection in equivariant bivariant $$K$$-theory. Zbl 0762.19008
Baum, Paul; Block, Jonathan
1992
Relative $$K$$ homology and $$C^*$$ algebras. Zbl 0755.46035
Baum, Paul; Douglas, Ronald G.
1991
Equivariant bicycles on singular spaces. Zbl 0719.19003
Baum, Paul; Block, Jonathan
1990
Cycles and relative cycles in analytic K-homology. Zbl 0697.58050
Baum, Paul; Douglas, Ronald G.; Taylor, Michael E.
1989
Chern character for discrete groups. Zbl 0656.55005
Baum, Paul; Connes, Alain
1988
K-theory for discrete groups. Zbl 0685.46041
Baum, Paul; Connes, Alain
1988
Leafwise homotopy equivalence and rational Pontrjagin classes. Zbl 0641.57008
Baum, Paul; Connes, Alain
1985
Cohomologie équivariante délocalisée. (Delocalized equivariant cohomology). Zbl 0589.55003
Baum, Paul; Brylinski, Jean-Luc; MacPherson, Robert
1985
K homology and index theory. Zbl 0532.55004
Baum, Paul; Douglas, Ronald G.
1982
Index theory, bordism, and K-homology. Zbl 0507.55004
Baum, Paul; Douglas, Ronald G.
1982
Toeplitz operators and Poincaré duality. Zbl 0517.55001
Baum, Paul; Douglas, Ronald G.
1982
Riemann-Roch and topological K-theory for singular varieties. Zbl 0474.14004
Baum, Paul; Fulton, William; MacPherson, Robert
1979
Lefschetz-Riemann-Roch for singular varieties. Zbl 0454.14009
Baum, Paul; Fulton, William; Quart, George
1979
Lefschetz-Riemann-Roch for singular varieties. Zbl 0357.14004
Baum, Paul; Fulton, William; Quart, George
1977
Riemann-Roch for singular varieties. Zbl 0332.14003
Baum, Paul; Fulton, William; MacPherson, Robert
1975
Structure of foliation singularities. Zbl 0296.57007
Baum, Paul
1975
Singularities of holomorphic foliations. Zbl 0268.57011
Baum, Paul; Bott, Raoul
1972
On the zeroes of meromorphic vector-fields. Zbl 0193.52201
Baum, Paul F.; Bott, Raoul
1970
Vector fields and Gauss-Bonnet. Zbl 0203.54102
Baum, P. F.
1970
Infinitesimal isometries and Pontryagin numbers. Zbl 0179.28802
Baum, P. F.; Cheeger, J.
1969
On the cohomology of homogeneous spaces. Zbl 0158.42002
Baum, Paul F.
1968
Quadratic maps and stable homotopy groups of spheres. Zbl 0166.19102
Baum, P. F.
1967
The real cohomology of differentiable fibre bundles. Zbl 0166.19302
Baum, Paul; Smith, Larry
1967
Local Isomorphism of compact connected Lie groups. Zbl 0178.02802
Baum, P. F.
1967
The cohomology of quotients of classical groups. Zbl 0152.22101
Baum, P. F.; Browder, W.
1965
Cohomology of homogeneous spaces. Zbl 0152.40503
Baum, P. F.
1963
all top 5

### Cited by 669 Authors

 21 Solleveld, Maarten 21 Yokura, Shoji 20 Baum, Paul Frank 19 Yu, Guoliang 18 Plymen, Roger J. 16 Aubert, Anne-Marie 16 Schürmann, Jörg 13 Mathai, Varghese 12 Maxim, Laurentiu G. 11 Echterhoff, Siegfried 10 Hochs, Peter 10 Schick, Thomas 9 Benameur, Moulay-Tahar 9 Corrêa Barros, Maurício Jun. 9 Emerson, Heath 9 Gillet, Henri A. 8 Hajac, Piotr M. 8 Lehmann, Daniel J. 7 Brasselet, Jean-Paul 7 Buss, Alcides 7 Deeley, Robin J. 7 Soares, Marcio G. 7 Suwa, Tatsuo 7 Xie, Zhizhang 6 Cappell, Sylvain E. 6 Elmrabty, Adnane 6 Fernández-Pérez, Arturo 6 Higson, Nigel 6 Kasparov, Gennadi G. 6 Kono, Akira 6 Meyer, Ralf 6 Rosenberg, Jonathan Micah 6 Willett, Rufus 5 Asuke, Taro 5 Bunke, Ulrich 5 Calvo-Andrade, Omegar 5 Douglas, Ronald George 5 Fulton, William 5 Goffeng, Magnus 5 Mesland, Bram 5 Mimura, Mamoru 5 Nest, Ryszard 5 Oyono-Oyono, Hervé 5 Piazza, Paolo 5 Shaneson, Julius L. 5 Skandalis, Georges 5 Smith, Larry 5 Valette, Alain 5 Wang, Hang 4 Burgstaller, Bernhard 4 Coutinho, S. C. 4 Druel, Stéphane 4 Duan, Haibao 4 Engel, Alexander 4 Gong, Guihua 4 Guo, Hao 4 Haskell, Peter 4 Kuribayashi, Katsuhiko 4 Lott, John 4 Lück, Wolfgang 4 Passer, Benjamin W. 4 Rennie, Adam 4 Savin, Anton Yur’evich 4 Sims, Aidan 4 Song, Yanli 4 Soulé, Christophe 4 Sternin, Boris Yur’evich 4 Szabo, Richard J. 4 Thiang, Guo Chuan 4 Thomason, Robert Wayne 4 van Erp, Erik 4 Voigt, Christian 4 Wang, Bailing 4 Weber, Andrzej 4 Weinberger, Shmuel 4 Zeidler, Rudolf 3 Andersen, Jørgen Ellegaard 3 Bárcenas, Noé 3 Bismut, Jean-Michel 3 Bracci, Filippo 3 Chirvăsitu, Alexandru 3 Chung, Yeong Chyuan 3 de Cataldo, Mark Andrea A. 3 Edidin, Dan 3 Frolkina, Olga D. 3 Gorokhovsky, Alexander 3 Graham, William A. 3 Guentner, Erik Paul 3 Heitsch, James L. 3 Ji, Ronghui 3 Julg, Pierre 3 Kaad, Jens 3 Kaliszewski, Steven Paul 3 Li, Kang 3 Loizides, Yiannis 3 MacPherson, Robert Duncan 3 Markman, Eyal 3 Matthey, Michel 3 Pask, David 3 Petrosyan, Nansen ...and 569 more Authors
all top 5

### Cited in 172 Serials

 53 Advances in Mathematics 36 Journal of Noncommutative Geometry 28 Inventiones Mathematicae 28 Mathematische Annalen 26 Journal of Functional Analysis 24 Transactions of the American Mathematical Society 20 Annales de l’Institut Fourier 19 Proceedings of the American Mathematical Society 18 Communications in Mathematical Physics 17 Duke Mathematical Journal 17 Journal of Pure and Applied Algebra 16 Journal of Geometry and Physics 16 $$K$$-Theory 14 Topology and its Applications 13 Journal of Algebra 12 Mathematische Zeitschrift 11 International Journal of Mathematics 11 Geometry & Topology 10 Bulletin of the American Mathematical Society 9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Documenta Mathematica 8 Acta Mathematica 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Journal of Topology and Analysis 7 Publications Mathématiques 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Algebraic & Geometric Topology 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Soviet Mathematics 6 Proceedings of the Japan Academy. Series A 6 Journal of the American Mathematical Society 6 Bulletin of the American Mathematical Society. New Series 6 Journal of $$K$$-Theory 5 Compositio Mathematica 5 Geometriae Dedicata 5 Journal of Number Theory 5 Selecta Mathematica. New Series 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Nuclear Physics. B 4 Rocky Mountain Journal of Mathematics 4 Journal für die Reine und Angewandte Mathematik 4 Differential Geometry and its Applications 4 Representation Theory 4 Journal of Homotopy and Related Structures 3 Bulletin of the Australian Mathematical Society 3 Bulletin de la Société Mathématique de France 3 Annals of Global Analysis and Geometry 3 Geometric and Functional Analysis. GAFA 3 Journal of Algebraic Geometry 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Kyoto Journal of Mathematics 2 Communications on Pure and Applied Mathematics 2 Houston Journal of Mathematics 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Reviews in Mathematical Physics 2 Anais da Academia Brasileira de Ciências 2 Functional Analysis and its Applications 2 Journal of the London Mathematical Society. Second Series 2 Manuscripta Mathematica 2 Michigan Mathematical Journal 2 Pacific Journal of Mathematics 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Semigroup Forum 2 Acta Applicandae Mathematicae 2 Publicacions Matemàtiques 2 Forum Mathematicum 2 Expositiones Mathematicae 2 Indagationes Mathematicae. New Series 2 Journal of Mathematical Sciences (New York) 2 The New York Journal of Mathematics 2 Journal of Lie Theory 2 Electronic Research Announcements of the American Mathematical Society 2 Transformation Groups 2 Algebras and Representation Theory 2 Missouri Journal of Mathematical Sciences 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Proceedings of the Steklov Institute of Mathematics 2 Groups, Geometry, and Dynamics 2 Algebra & Number Theory 2 European Journal of Pure and Applied Mathematics 2 Science China. Mathematics 2 Journal of Singularities 2 Research in the Mathematical Sciences 2 European Journal of Mathematics 2 Journal de l’École Polytechnique – Mathématiques 2 Complex Manifolds 2 Annals of $$K$$-Theory 1 Modern Physics Letters A 1 Communications in Algebra 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Studia Mathematica 1 The Mathematical Intelligencer ...and 72 more Serials
all top 5

### Cited in 42 Fields

 229 $$K$$-theory (19-XX) 201 Functional analysis (46-XX) 181 Algebraic geometry (14-XX) 159 Global analysis, analysis on manifolds (58-XX) 153 Algebraic topology (55-XX) 130 Manifolds and cell complexes (57-XX) 124 Several complex variables and analytic spaces (32-XX) 95 Topological groups, Lie groups (22-XX) 84 Differential geometry (53-XX) 74 Group theory and generalizations (20-XX) 42 Category theory; homological algebra (18-XX) 41 Quantum theory (81-XX) 36 Dynamical systems and ergodic theory (37-XX) 30 Number theory (11-XX) 27 Associative rings and algebras (16-XX) 20 Operator theory (47-XX) 16 Commutative algebra (13-XX) 13 Nonassociative rings and algebras (17-XX) 13 Abstract harmonic analysis (43-XX) 12 General topology (54-XX) 7 Ordinary differential equations (34-XX) 6 Combinatorics (05-XX) 6 Partial differential equations (35-XX) 5 Field theory and polynomials (12-XX) 5 Geometry (51-XX) 4 Functions of a complex variable (30-XX) 4 Convex and discrete geometry (52-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX)

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