# zbMATH — the first resource for mathematics

## Higson, Nigel

Compute Distance To:
 Author ID: higson.nigel Published as: Higson, Nigel; Higson, N. Homepage: http://www.personal.psu.edu/ndh2/math/Home.html External Links: MGP · Wikidata · GND · IdRef · theses.fr
 Documents Indexed: 65 Publications since 1987, including 2 Books 3 Contributions as Editor
all top 5

#### Co-Authors

 16 single-authored 12 Roe, John 7 Guentner, Erik Paul 6 Baum, Paul Frank 4 Crisp, Tyrone 4 Schick, Thomas 3 Kasparov, Gennadi G. 3 Plymen, Roger J. 3 Subag, Eyal M. 3 Yu, Guoliang 2 Bernstein, Joseph 2 Brodzki, Jacek 2 Clare, Pierre 2 Connes, Alain 2 Trout, Jody 1 Barbasch, Dan M. 1 Block, Jonathan L. 1 Bradd, Jacob 1 Burago, Dmitri 1 Chamseddine, Ali Hani 1 Consani, Caterina 1 Cuntz, Joachim 1 Haj Saeedi Sadegh, Ahmad Reza 1 Hajac, Piotr M. 1 Ivanov, Sergei Vladimirovich 1 Khalkhali, Masoud 1 Pedersen, Erik Kjær 1 Lafforgue, Vincent 1 Landi, Giovanni 1 Mathai, Varghese 1 Moscovici, Henri 1 Nishikawa, Shintaro 1 Nistor, Victor 1 Román, Angel 1 Rørdam, Mikael 1 Skandalis, Georges 1 Song, Yanli 1 Tan, Qijun 1 Weinberger, Shmuel 1 Xie, Zhizhang 1 Yi, Zelin
all top 5

#### Serials

 4 $$K$$-Theory 3 Advances in Mathematics 3 Journal of Functional Analysis 3 IMRN. International Mathematics Research Notices 3 Geometric and Functional Analysis. GAFA 3 Documenta Mathematica 2 Geometriae Dedicata 2 International Journal of Mathematics 2 Pure and Applied Mathematics Quarterly 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Journal of Geometry and Physics 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Topology 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Expositiones Mathematicae 1 Electronic Research Announcements of the American Mathematical Society 1 Representation Theory 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Geometry & Topology 1 Journal of the Institute of Mathematics of Jussieu 1 Clay Mathematics Proceedings 1 European Journal of Mathematics 1 Oxford Mathematical Monographs
all top 5

#### Fields

 44 Functional analysis (46-XX) 28 $$K$$-theory (19-XX) 18 Global analysis, analysis on manifolds (58-XX) 15 Topological groups, Lie groups (22-XX) 8 Group theory and generalizations (20-XX) 6 Manifolds and cell complexes (57-XX) 4 Algebraic geometry (14-XX) 4 Algebraic topology (55-XX) 3 General and overarching topics; collections (00-XX) 3 Category theory; homological algebra (18-XX) 3 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

57 Publications have been cited 1,242 times in 750 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
Analytic K-homology. Zbl 0968.46058
Higson, Nigel; Roe, John
2000
$$E$$-theory and $$KK$$-theory for groups which act properly and isometrically on Hilbert space. Zbl 0988.19003
2001
Counterexamples to the Baum-Connes conjecture. Zbl 1014.46043
Higson, N.; Lafforgue, V.; Skandalis, G.
2002
Amenable group actions and the Novikov conjecture. Zbl 0964.55015
Higson, Nigel; Roe, John
2000
Deformations, asymptotic morphisms and bivariant $$K$$-theory. (Déformations, morphismes asymptotiques et $$K$$-théorie bivariante.) Zbl 0717.46062
Connes, Alain; Higson, Nigel
1990
The Novikov conjecture for linear groups. Zbl 1073.19003
Guentner, Erik; Higson, Nigel; Weinberger, Shmuel
2005
A coarse Mayer-Vietoris principle. Zbl 0792.55001
Higson, Nigel; Roe, John; Yu, Guoliang
1993
On the coarse Baum-Connes conjecture. Zbl 0957.58019
Higson, Nigel; Roe, John
1995
Bivariant $$K$$-theory and the Novikov conjecture. Zbl 0962.46052
Higson, N.
2000
On the equivalence of geometric and analytic $$K$$-homology. Zbl 1146.19004
Baum, Paul; Higson, Nigel; Schick, Thomas
2007
Operator $$K$$-theory for groups which act properly and isometrically on Hilbert space. Zbl 0888.46046
1997
A characterization of KK-theory. Zbl 0645.46054
Higson, Nigel
1987
Algebraic $$K$$-theory of stable $$C^*$$-algebras. Zbl 0635.46061
Higson, Nigel
1988
$$C^*$$-algebras and controlled topology. Zbl 0879.19003
Higson, Nigel; Pedersen, Erik Kjær; Roe, John
1997
A note on the cobordism invariance of the index. Zbl 0731.58065
Higson, Nigel
1991
Equivariant $$E$$-theory for $$C^*$$-algebras. Zbl 0983.19003
Guentner, Erik; Higson, Nigel; Trout, Jody
2000
Mapping surgery to analysis. I: Analytic signatures. Zbl 1083.19002
Higson, Nigel; Roe, John
2004
$$K$$-homology, assembly and rigidity theorems for relative eta invariants. Zbl 1227.19006
Higson, Nigel; Roe, John
2010
A Bott periodicity theorem for infinite dimensional Euclidean space. Zbl 0911.46040
Higson, Nigel; Kasparov, Gennadi; Trout, Jody
1998
Mapping surgery to analysis. II: Geometric signatures. Zbl 1083.19003
Higson, Nigel; Roe, John
2004
Group C$$^{\ast}$$-algebras and K-theory. Zbl 1053.46048
Higson, Nigel; Guentner, Erik
2004
Mapping surgery to analysis. III: Exact sequences. Zbl 1085.19002
Higson, Nigel; Roe, John
2004
The residue index theorem of Connes and Moscovici. Zbl 1120.58017
Higson, Nigel
2006
Weak amenability of CAT(0)-cubical groups. Zbl 1208.46054
Guentner, Erik; Higson, Nigel
2010
The local index formula in noncommutative geometry. Zbl 1122.58015
Higson, Nigel
2003
Kuiper’s theorem for Hilbert modules. Zbl 0616.46066
Cuntz, Joachim; Higson, Nigel
1987
Categories of fractions and excision in KK-theory. Zbl 0718.46053
Higson, Nigel
1990
$$C^*$$-algebra extension theory and duality. Zbl 0828.46060
Higson, Nigel
1995
A geometric description of equivariant K-homology for proper actions. Zbl 1216.19006
Baum, Paul; Higson, Nigel; Schick, Thomas
2010
On a technical theorem of Kasparov. Zbl 0623.46035
Higson, Nigel
1987
Parabolic induction and restriction via $$C^{\ast}$$-algebras and Hilbert $$C^{\ast}$$-modules. Zbl 1346.22005
Clare, Pierre; Crisp, Tyrone; Higson, Nigel
2016
The Baum-Connes conjecture. Zbl 0911.46041
Higson, Nigel
1998
A proof of the Baum-Connes conjecture for $$p$$-adic $$GL(n)$$. Zbl 0918.46061
Baum, Paul; Higson, Nigel; Plymen, Roger
1997
Euler-like vector fields, deformation spaces and manifolds with filtered structure. Zbl 1393.57018
2018
Representation theory of $$p$$-adic groups: A view from operator algebras. Zbl 0982.19006
Baum, P. F.; Higson, N.; Plymen, R. J.
2000
Spaces with vanishing $$\ell^2$$-homology and their fundamental groups (after Farber and Weinberger). Zbl 0991.57002
Higson, Nigel; Roe, John; Schick, Thomas
2001
A primer on KK-theory. Zbl 0718.46052
Higson, Nigel
1990
The Mackey analogy and $$K$$-theory. Zbl 1172.46046
Higson, Nigel
2008
On the $$K$$-theory proof of the index theorem. Zbl 0798.19004
Higson, Nigel
1993
Cyclic homology of totally disconnected groups acting on buildings. Zbl 0921.46083
Higson, Nigel; Nistor, Victor
1996
Adjoint functors between categories of Hilbert $$C^{\ast}$$-modules. Zbl 1395.46043
Clare, Pierre; Crisp, Tyrone; Higson, Nigel
2018
The tangent groupoid and the index theorem. Zbl 1230.58016
Higson, Nigel
2010
Equivariant homology for $$SL(2)$$ of a $$p$$-adic field. Zbl 0844.46043
Baum, Paul; Higson, Nigel; Plymen, Roger
1993
A note on Toeplitz operators. Zbl 0864.47010
Guentner, Erik; Higson, Nigel
1996
Meromorphic continuation of zeta functions associated to elliptic operators. Zbl 1081.58017
Higson, Nigel
2004
Parabolic induction, categories of representations and operator spaces. Zbl 1355.22003
Crisp, Tyrone; Higson, Nigel
2016
On the analogy between complex semisimple groups and their Cartan motion groups. Zbl 1236.22010
Higson, Nigel
2011
Area spaces: First steps. Zbl 1186.53088
Burago, Dmitri; Ivanov, Sergei; Higson, Nigel
2009
The Weyl-von Neumann theorem for multipliers of some $$AF$$-algebras. Zbl 0762.46046
Higson, Nigel; Rørdam, Mikael
1991
A homotopy invariance theorem in coarse cohomology and $$K$$-theory. Zbl 0812.58083
Higson, Nigel; Roe, John
1994
A second adjoint theorem for $$SL(2,\mathbb R)$$. Zbl 1409.22009
Crisp, Tyrone; Higson, Nigel
2017
Algebraic families of groups and commuting involutions. Zbl 1428.20046
Barbasch, Dan; Higson, Nigel; Subag, Eyal
2018
Spinors and the tangent groupoid. Zbl 1429.58018
Higson, Nigel; Yi, Zelin
2019
Surveys in noncommutative geometry. Proceedings from the Clay Mathematics Institute instructional symposium, held in conjunction with the AMS-IMS-SIAM joint summer research conference on noncommutative geometry, South Hadley, MA, USA, June 18–29, 2000. Zbl 1102.46001
2006
Weyl character formula in KK-theory. Zbl 1300.19002
Block, Jonathan; Higson, Nigel
2013
A differential complex for CAT(0) cubical spaces. Zbl 1414.46049
Brodzki, J.; Guentner, E.; Higson, N.
2019
Spinors and the tangent groupoid. Zbl 1429.58018
Higson, Nigel; Yi, Zelin
2019
A differential complex for CAT(0) cubical spaces. Zbl 1414.46049
Brodzki, J.; Guentner, E.; Higson, N.
2019
Euler-like vector fields, deformation spaces and manifolds with filtered structure. Zbl 1393.57018
2018
Adjoint functors between categories of Hilbert $$C^{\ast}$$-modules. Zbl 1395.46043
Clare, Pierre; Crisp, Tyrone; Higson, Nigel
2018
Algebraic families of groups and commuting involutions. Zbl 1428.20046
Barbasch, Dan; Higson, Nigel; Subag, Eyal
2018
A second adjoint theorem for $$SL(2,\mathbb R)$$. Zbl 1409.22009
Crisp, Tyrone; Higson, Nigel
2017
Parabolic induction and restriction via $$C^{\ast}$$-algebras and Hilbert $$C^{\ast}$$-modules. Zbl 1346.22005
Clare, Pierre; Crisp, Tyrone; Higson, Nigel
2016
Parabolic induction, categories of representations and operator spaces. Zbl 1355.22003
Crisp, Tyrone; Higson, Nigel
2016
Weyl character formula in KK-theory. Zbl 1300.19002
Block, Jonathan; Higson, Nigel
2013
On the analogy between complex semisimple groups and their Cartan motion groups. Zbl 1236.22010
Higson, Nigel
2011
$$K$$-homology, assembly and rigidity theorems for relative eta invariants. Zbl 1227.19006
Higson, Nigel; Roe, John
2010
Weak amenability of CAT(0)-cubical groups. Zbl 1208.46054
Guentner, Erik; Higson, Nigel
2010
A geometric description of equivariant K-homology for proper actions. Zbl 1216.19006
Baum, Paul; Higson, Nigel; Schick, Thomas
2010
The tangent groupoid and the index theorem. Zbl 1230.58016
Higson, Nigel
2010
Area spaces: First steps. Zbl 1186.53088
Burago, Dmitri; Ivanov, Sergei; Higson, Nigel
2009
The Mackey analogy and $$K$$-theory. Zbl 1172.46046
Higson, Nigel
2008
On the equivalence of geometric and analytic $$K$$-homology. Zbl 1146.19004
Baum, Paul; Higson, Nigel; Schick, Thomas
2007
The residue index theorem of Connes and Moscovici. Zbl 1120.58017
Higson, Nigel
2006
Surveys in noncommutative geometry. Proceedings from the Clay Mathematics Institute instructional symposium, held in conjunction with the AMS-IMS-SIAM joint summer research conference on noncommutative geometry, South Hadley, MA, USA, June 18–29, 2000. Zbl 1102.46001
2006
The Novikov conjecture for linear groups. Zbl 1073.19003
Guentner, Erik; Higson, Nigel; Weinberger, Shmuel
2005
Mapping surgery to analysis. I: Analytic signatures. Zbl 1083.19002
Higson, Nigel; Roe, John
2004
Mapping surgery to analysis. II: Geometric signatures. Zbl 1083.19003
Higson, Nigel; Roe, John
2004
Group C$$^{\ast}$$-algebras and K-theory. Zbl 1053.46048
Higson, Nigel; Guentner, Erik
2004
Mapping surgery to analysis. III: Exact sequences. Zbl 1085.19002
Higson, Nigel; Roe, John
2004
Meromorphic continuation of zeta functions associated to elliptic operators. Zbl 1081.58017
Higson, Nigel
2004
The local index formula in noncommutative geometry. Zbl 1122.58015
Higson, Nigel
2003
Counterexamples to the Baum-Connes conjecture. Zbl 1014.46043
Higson, N.; Lafforgue, V.; Skandalis, G.
2002
$$E$$-theory and $$KK$$-theory for groups which act properly and isometrically on Hilbert space. Zbl 0988.19003
2001
Spaces with vanishing $$\ell^2$$-homology and their fundamental groups (after Farber and Weinberger). Zbl 0991.57002
Higson, Nigel; Roe, John; Schick, Thomas
2001
Analytic K-homology. Zbl 0968.46058
Higson, Nigel; Roe, John
2000
Amenable group actions and the Novikov conjecture. Zbl 0964.55015
Higson, Nigel; Roe, John
2000
Bivariant $$K$$-theory and the Novikov conjecture. Zbl 0962.46052
Higson, N.
2000
Equivariant $$E$$-theory for $$C^*$$-algebras. Zbl 0983.19003
Guentner, Erik; Higson, Nigel; Trout, Jody
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 Bott periodicity theorem for infinite dimensional Euclidean space. Zbl 0911.46040
Higson, Nigel; Kasparov, Gennadi; Trout, Jody
1998
The Baum-Connes conjecture. Zbl 0911.46041
Higson, Nigel
1998
Operator $$K$$-theory for groups which act properly and isometrically on Hilbert space. Zbl 0888.46046
1997
$$C^*$$-algebras and controlled topology. Zbl 0879.19003
Higson, Nigel; Pedersen, Erik Kjær; Roe, John
1997
A proof of the Baum-Connes conjecture for $$p$$-adic $$GL(n)$$. Zbl 0918.46061
Baum, Paul; Higson, Nigel; Plymen, Roger
1997
Cyclic homology of totally disconnected groups acting on buildings. Zbl 0921.46083
Higson, Nigel; Nistor, Victor
1996
A note on Toeplitz operators. Zbl 0864.47010
Guentner, Erik; Higson, Nigel
1996
On the coarse Baum-Connes conjecture. Zbl 0957.58019
Higson, Nigel; Roe, John
1995
$$C^*$$-algebra extension theory and duality. Zbl 0828.46060
Higson, Nigel
1995
Classifying space for proper actions and $$K$$-theory of group $$C^*$$- algebras. Zbl 0830.46061
Baum, Paul; Connes, Alain; Higson, Nigel
1994
A homotopy invariance theorem in coarse cohomology and $$K$$-theory. Zbl 0812.58083
Higson, Nigel; Roe, John
1994
A coarse Mayer-Vietoris principle. Zbl 0792.55001
Higson, Nigel; Roe, John; Yu, Guoliang
1993
On the $$K$$-theory proof of the index theorem. Zbl 0798.19004
Higson, Nigel
1993
Equivariant homology for $$SL(2)$$ of a $$p$$-adic field. Zbl 0844.46043
Baum, Paul; Higson, Nigel; Plymen, Roger
1993
A note on the cobordism invariance of the index. Zbl 0731.58065
Higson, Nigel
1991
The Weyl-von Neumann theorem for multipliers of some $$AF$$-algebras. Zbl 0762.46046
Higson, Nigel; Rørdam, Mikael
1991
Deformations, asymptotic morphisms and bivariant $$K$$-theory. (Déformations, morphismes asymptotiques et $$K$$-théorie bivariante.) Zbl 0717.46062
Connes, Alain; Higson, Nigel
1990
Categories of fractions and excision in KK-theory. Zbl 0718.46053
Higson, Nigel
1990
A primer on KK-theory. Zbl 0718.46052
Higson, Nigel
1990
Algebraic $$K$$-theory of stable $$C^*$$-algebras. Zbl 0635.46061
Higson, Nigel
1988
A characterization of KK-theory. Zbl 0645.46054
Higson, Nigel
1987
Kuiper’s theorem for Hilbert modules. Zbl 0616.46066
Cuntz, Joachim; Higson, Nigel
1987
On a technical theorem of Kasparov. Zbl 0623.46035
Higson, Nigel
1987
all top 5

#### Cited by 608 Authors

 28 Yu, Guoliang 18 Higson, Nigel 15 Dadarlat, Marius 15 Willett, Rufus 14 Lück, Wolfgang 14 Rennie, Adam 14 Wang, Qin 12 Echterhoff, Siegfried 12 Guentner, Erik Paul 11 Mathai, Varghese 11 Thomsen, Klaus E. 10 Chen, Xiaoman 10 Manuĭlov, Vladimir Markovich 10 Meyer, Ralf 9 Benameur, Moulay-Tahar 9 Emerson, Heath 9 Hochs, Peter 9 Nowak, Piotr W. 9 Wang, Xianjin 9 Wright, Nick J. 8 Bartels, Arthur C. 8 Deeley, Robin J. 8 Dranishnikov, Alexander Nikolaevich 8 Goffeng, Magnus 8 Li, Kang 8 Schick, Thomas 8 Spakula, Jan 8 Valette, Alain 8 Xie, Zhizhang 7 Carey, Alan L. 7 Mahanta, Snigdhayan 7 Mesland, Bram 7 Roe, John 7 Wang, Hang 6 Baum, Paul Frank 6 Brodzki, Jacek 6 Buss, Alcides 6 Crisp, Tyrone 6 Gruber, Dominik 6 Kasparov, Gennadi G. 6 Niblo, Graham A. 6 Oguni, Shinichi 6 Oyono-Oyono, Hervé 6 Piazza, Paolo 6 Skandalis, Georges 6 Zeidler, Rudolf 5 Burgstaller, Bernhard 5 Douglas, Ronald George 5 Engel, Alexander 5 Fu, Benyin 5 Fukaya, Tomohiro 5 Kaad, Jens 5 Kubota, Yosuke 5 Li, Xin 5 Ozawa, Narutaka 5 Pennig, Ulrich 5 Ponge, Raphaël S. 5 Rosenberg, Jonathan Micah 5 Solleveld, Maarten 5 Song, Yanli 5 Sukochev, Fedor Anatol’evich 5 Tessera, Romain 5 van Erp, Erik 5 Weinberger, Shmuel 5 Zhang, Jiawen 4 Arzhantseva, Goulnara N. 4 Bell, Gregory C. 4 Bönicke, Christian 4 Bunke, Ulrich 4 Cuntz, Joachim 4 de Cornulier, Yves 4 Ebert, Johannes Felix 4 Finn-Sell, Martin 4 Ji, Ronghui 4 Kaminker, Jerome 4 Lin, Huaxin 4 Matthey, Michel 4 Mitchener, Paul D. 4 Nest, Ryszard 4 Plymen, Roger J. 4 Reich, Holger 4 Roy, Indrava 4 Thiang, Guo Chuan 4 van den Dungen, Koenraad Lambertus 4 Voigt, Christian 4 Wulff, Christopher 4 Yamauchi, Takamitsu 4 Ye, Shengkui 4 Zenobi, Vito Felice 3 Antonini, Paolo 3 Aubert, Anne-Marie 3 Balmer, Paul 3 Bárcenas, Noé 3 Braverman, Maxim 3 Cecchini, Simone 3 Chakraborty, Partha Sarathi 3 Chang, Stanley S. 3 Chung, Yeong Chyuan 3 Clare, Pierre 3 Cortiñas, Guillermo H. ...and 508 more Authors
all top 5

#### Cited in 125 Serials

 85 Journal of Functional Analysis 55 Advances in Mathematics 51 Journal of Noncommutative Geometry 30 Journal of Geometry and Physics 26 Proceedings of the American Mathematical Society 26 Transactions of the American Mathematical Society 24 $$K$$-Theory 22 Mathematische Annalen 22 Journal of Topology and Analysis 21 Communications in Mathematical Physics 20 Topology and its Applications 15 Algebraic & Geometric Topology 14 Journal für die Reine und Angewandte Mathematik 13 Geometry & Topology 12 Groups, Geometry, and Dynamics 10 Journal of Mathematical Physics 10 Annales de l’Institut Fourier 10 Chinese Annals of Mathematics. Series B 9 Inventiones Mathematicae 8 Journal of Mathematical Analysis and Applications 8 Letters in Mathematical Physics 8 Geometriae Dedicata 7 Israel Journal of Mathematics 7 International Journal of Mathematics 7 Geometric and Functional Analysis. GAFA 7 Journal of $$K$$-Theory 6 Journal of Homotopy and Related Structures 6 Journal of Topology 5 Rocky Mountain Journal of Mathematics 5 Duke Mathematical Journal 5 Integral Equations and Operator Theory 5 Journal of Mathematical Sciences (New York) 5 Documenta Mathematica 5 Annals of Mathematics. Second Series 5 Kyoto Journal of Mathematics 5 Annals of $$K$$-Theory 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Compositio Mathematica 4 Journal of Algebra 4 Journal of Pure and Applied Algebra 4 International Journal of Algebra and Computation 4 Russian Journal of Mathematical Physics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Mathematical Notes 3 Reviews in Mathematical Physics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Publications Mathématiques 3 Memoirs of the American Mathematical Society 3 Ergodic Theory and Dynamical Systems 3 Journal of the American Mathematical Society 3 Differential Geometry and its Applications 3 The Journal of Geometric Analysis 3 Expositiones Mathematicae 3 Mathematical Physics, Analysis and Geometry 2 Houston Journal of Mathematics 2 Reports on Mathematical Physics 2 Studia Mathematica 2 Fortschritte der Physik 2 Acta Mathematica 2 Archiv der Mathematik 2 Fundamenta Mathematicae 2 Journal of the Mathematical Society of Japan 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Annals of Global Analysis and Geometry 2 Linear Algebra and its Applications 2 Indagationes Mathematicae. New Series 2 Journal of Lie Theory 2 Electronic Research Announcements of the American Mathematical Society 2 Representation Theory 2 Annales Henri Poincaré 2 Missouri Journal of Mathematical Sciences 2 European Journal of Pure and Applied Mathematics 2 Science China. Mathematics 1 Discrete Mathematics 1 Russian Mathematical Surveys 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of the Korean Mathematical Society 1 Kyungpook Mathematical Journal 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Semigroup Forum 1 Tokyo Journal of Mathematics 1 Systems & Control Letters 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Acta Applicandae Mathematicae 1 Publicacions Matemàtiques 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Experimental Mathematics 1 Applied Categorical Structures ...and 25 more Serials
all top 5

#### Cited in 43 Fields

 429 Functional analysis (46-XX) 307 $$K$$-theory (19-XX) 201 Global analysis, analysis on manifolds (58-XX) 154 Group theory and generalizations (20-XX) 112 Topological groups, Lie groups (22-XX) 89 Algebraic topology (55-XX) 85 Differential geometry (53-XX) 65 Manifolds and cell complexes (57-XX) 48 Abstract harmonic analysis (43-XX) 47 Operator theory (47-XX) 46 Quantum theory (81-XX) 39 General topology (54-XX) 32 Category theory; homological algebra (18-XX) 27 Geometry (51-XX) 26 Combinatorics (05-XX) 17 Dynamical systems and ergodic theory (37-XX) 14 Number theory (11-XX) 10 Algebraic geometry (14-XX) 10 Associative rings and algebras (16-XX) 9 Nonassociative rings and algebras (17-XX) 8 Functions of a complex variable (30-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Partial differential equations (35-XX) 6 Probability theory and stochastic processes (60-XX) 3 Measure and integration (28-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.