## Schochet, Claude L.

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 Author ID: schochet.claude-l Published as: Schochet, Claude; Schochet, Claude L.; Schochet, C. L.; Schochet, Claude (Chaim); Schochet, C. more...less External Links: MGP · Google Scholar · ResearchGate
 Documents Indexed: 56 Publications since 1971, including 5 Books 2 Contributions as Editor Reviewing Activity: 3 Reviews Co-Authors: 31 Co-Authors with 29 Joint Publications 630 Co-Co-Authors
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### Co-Authors

 29 single-authored 9 Kaminker, Jerome 6 Rosenberg, Jonathan Micah 4 Smith, Samuel Bruce 2 Brown, Lawrence Gerald 2 Klein, John Robert 2 Moore, Calvin C. 1 Akkermans, Eric 1 Choi, Man-Duen 1 Dadarlat, Marius 1 de la Harpe, Pierre 1 Don, Yaroslav 1 Douglas, Ronald George 1 Effros, Rita Brickman 1 Dror Farjoun, Emmanuel 1 Harper, John E. 1 Jørgensen, Palle E. T. 1 Kahn, Daniel S. 1 Kraines, David 1 Loebl, Richard I. 1 Lupton, Gregory M. 1 Millett, Kenneth C. 1 Park, Efton 1 Phillips, N. Christopher 1 Pisier, Gilles 1 Popa, Sorin Teodor 1 Powers, Robert T. 1 Ruan, Zhongjin 1 Schreiber, Bertram M. 1 Shlyakhtenko, Dimitri L. 1 Shultz, Fred 1 Takesaki, Masamichi 1 Voiculescu, Dan-Virgil
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### Serials

 5 Pacific Journal of Mathematics 3 Duke Mathematical Journal 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 $$K$$-Theory 3 Notices of the American Mathematical Society 3 Journal of Topology and Analysis 2 Journal of Functional Analysis 2 Journal of Pure and Applied Algebra 2 Journal of Operator Theory 2 International Journal of Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Contemporary Mathematics 2 Mathematical Sciences Research Institute Publications 1 Journal of Geometry and Physics 1 American Journal of Mathematics 1 Mathematica Scandinavica 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Journal of the Australian Mathematical Society. Series A 1 The New York Journal of Mathematics 1 Proceedings of the Cambridge Philosophical Society 1 Bulletin of the American Mathematical Society 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Lecture Notes Series. Aarhus University 1 NYJM Monographs 1 Journal of $$K$$-Theory
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### Fields

 41 Functional analysis (46-XX) 34 Algebraic topology (55-XX) 13 $$K$$-theory (19-XX) 9 Category theory; homological algebra (18-XX) 9 Manifolds and cell complexes (57-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Operator theory (47-XX) 4 Topological groups, Lie groups (22-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX)

### Citations contained in zbMATH Open

42 Publications have been cited 506 times in 384 Documents Cited by Year
The Künneth theorem and the universal coefficient theorem for Kasparov’s generalized K-functor. Zbl 0644.46051
Rosenberg, Jonathan; Schochet, Claude
1987
Global analysis on foliated spaces. Zbl 0648.58034
Moore, Calvin C.; Schochet, Claude
1988
Global analysis on foliated spaces. 2nd ed. Zbl 1091.58015
Moore, Calvin C.; Schochet, Claude
2006
Topological methods for C*-algebras. II: Geometric resolutions and the Kuenneth formula. Zbl 0439.46043
Schochet, Claude
1982
Topological methods for $$C^*$$-algebras. IV: Mod p homology. Zbl 0491.46062
Schochet, Claude
1984
Topological methods for $$C^*$$-algebras. III: Axiomatic homology. Zbl 0491.46061
Schochet, Claude
1984
Generalized homology theories on compact metric spaces. Zbl 0384.55001
Kahn, Daniel S.; Kaminker, Jerome; Schochet, Claude
1977
Topological methods for C*-algebras. I: Spectral sequences. Zbl 0426.46057
Schochet, Claude
1981
Differentials in the Eilenberg-Moore spectral sequence. Zbl 0237.55016
Kraines, David; Schochet, Claude
1972
K-theory and Steenrod homology: Applications to the Brown-Douglas- Fillmore theory of operator algebras. Zbl 0368.46054
Kaminker, Jerome; Schochet, Claude
1977
The UCT, the Milnor sequence, and a canonical decomposition of the Kasparov groups. Zbl 0839.19004
Schochet, Claude L.
1996
The Künneth theorem and the universal coefficient theorem for equivariant K-theory and KK-theory. Zbl 0607.46043
Rosenberg, Jonathan; Schochet, Claude
1986
Continuous trace $$C^*$$-algebras, gauge groups and rationalization. Zbl 1202.46066
Klein, John R.; Schochet, Claude L.; Smith, Samuel B.
2009
The fine structure of the Kasparov groups. III: Relative quasidiagonality. Zbl 1119.19006
Schochet, Claude L.
2005
Banach algebras and rational homotopy theory. Zbl 1163.55006
Lupton, Gregory; Phillips, N. Christopher; Schochet, Claude L.; Smith, Samuel B.
2009
The fine structure of the Kasparov groups. I: Continuity of the KK-pairing. Zbl 0990.19003
Schochet, Claude L.
2001
A two-stage Postnikov system where $$E_ 2 \neq E_ \infty$$ in the Eilenberg-Moore spectral sequence. Zbl 0214.21902
Schochet, C.
1971
The fine structure on the Kasparov groups. II: Topologizing the UCT. Zbl 1029.19004
Schochet, Claude L.
2002
The classification of extensions of C*-algebras. Zbl 0473.46047
Rosenberg, Jonathan; Schochet, Claude
1981
Cobordism from an algebraic point of view. Zbl 0222.57025
Schochet, Claude
1971
A Pext primer. Pure extensions and $$\lim^1$$ for infinite Abelian groups. Zbl 1033.20064
Schochet, Claude L.
2003
The Dixmier-Douady invariant for dummies. Zbl 1189.46048
Schochet, Claude
2009
Homogeneous extensions of C*-algebras and K-theory. I. Zbl 0441.46057
Schochet, Claude
1980
Coalgebra extensions in two-stage Postnikov systems. Zbl 0235.55019
Harper, John; Schochet, Claude
1972
On the $$K$$-theory of quarter-plane Toeplitz algebras. Zbl 0752.46040
Park, Efton; Schochet, Claude
1991
Comparing functors classifying extensions of C*-algebras. Zbl 0472.46050
Rosenberg, Jonathan; Schochet, Claude
1981
On the structure of graded formal groups of finite characteristic. Zbl 0245.55006
Schochet, Claude
1973
On the bordism ring of complex projective space. Zbl 0248.57022
Schochet, Claude
1973
The topological snake lemma and corona algebras. Zbl 0932.46045
Schochet, C. L.
1999
Spaces of sections of Banach algebra bundles. Zbl 1264.46050
Farjoun, Emmanuel Dror; Schochet, Claude L.
2012
$$K_1$$ of the compact operators is zero. Zbl 0345.47024
Brown, L. G.; Schochet, Claude
1976
Correction to: “The UCT, the Milnor sequence, and a canonical decomposition of the Kasparov groups”. Zbl 0901.19003
Schochet, Claude L.
1998
Equivariant $$KK$$-theory for inverse limits of $$G$$-$$C^*$$-algebras. Zbl 0812.19004
Schochet, Claude
1994
Spanier-Whitehead $$K$$-duality for $$C^\ast$$-algebras. Zbl 1418.46033
Kaminker, Jerome; Schochet, Claude L.
2019
Topological obstructions to perturbations of pairs of operators. Zbl 0367.55021
Kaminker, Jerome; Schochet, Claude
1977
Covariant representations on the Calkin algebra. I. Zbl 0401.46035
Loebl, Richard; Schochet, Claude
1978
Covariant representations on the Calkin algebra. II. Zbl 0447.46050
Schochet, Claude
1980
Localization of grouplike function and section spaces with compact domain. Zbl 1214.55010
Schochet, Claude L.; Smith, Samuel B.
2010
On equivariant Kasparov theory and Spanier-Whitehead duality. Zbl 0811.46075
Schochet, Claude
1992
Steenrod homology and operator algebras. Zbl 0325.55009
Kaminker, Jerome; Schochet, Claude
1975
The Kasparov groups for commutative $$C^*$$-algebras and Spanier- Whitehead duality. Zbl 0718.46055
Schochet, Claude
1990
Homogeneous extensions of $$C^*$$-algebras and K-theory. II. Zbl 0531.46047
Schochet, Claude
1983
Spanier-Whitehead $$K$$-duality for $$C^\ast$$-algebras. Zbl 1418.46033
Kaminker, Jerome; Schochet, Claude L.
2019
Spaces of sections of Banach algebra bundles. Zbl 1264.46050
Farjoun, Emmanuel Dror; Schochet, Claude L.
2012
Localization of grouplike function and section spaces with compact domain. Zbl 1214.55010
Schochet, Claude L.; Smith, Samuel B.
2010
Continuous trace $$C^*$$-algebras, gauge groups and rationalization. Zbl 1202.46066
Klein, John R.; Schochet, Claude L.; Smith, Samuel B.
2009
Banach algebras and rational homotopy theory. Zbl 1163.55006
Lupton, Gregory; Phillips, N. Christopher; Schochet, Claude L.; Smith, Samuel B.
2009
The Dixmier-Douady invariant for dummies. Zbl 1189.46048
Schochet, Claude
2009
Global analysis on foliated spaces. 2nd ed. Zbl 1091.58015
Moore, Calvin C.; Schochet, Claude
2006
The fine structure of the Kasparov groups. III: Relative quasidiagonality. Zbl 1119.19006
Schochet, Claude L.
2005
A Pext primer. Pure extensions and $$\lim^1$$ for infinite Abelian groups. Zbl 1033.20064
Schochet, Claude L.
2003
The fine structure on the Kasparov groups. II: Topologizing the UCT. Zbl 1029.19004
Schochet, Claude L.
2002
The fine structure of the Kasparov groups. I: Continuity of the KK-pairing. Zbl 0990.19003
Schochet, Claude L.
2001
The topological snake lemma and corona algebras. Zbl 0932.46045
Schochet, C. L.
1999
Correction to: “The UCT, the Milnor sequence, and a canonical decomposition of the Kasparov groups”. Zbl 0901.19003
Schochet, Claude L.
1998
The UCT, the Milnor sequence, and a canonical decomposition of the Kasparov groups. Zbl 0839.19004
Schochet, Claude L.
1996
Equivariant $$KK$$-theory for inverse limits of $$G$$-$$C^*$$-algebras. Zbl 0812.19004
Schochet, Claude
1994
On equivariant Kasparov theory and Spanier-Whitehead duality. Zbl 0811.46075
Schochet, Claude
1992
On the $$K$$-theory of quarter-plane Toeplitz algebras. Zbl 0752.46040
Park, Efton; Schochet, Claude
1991
The Kasparov groups for commutative $$C^*$$-algebras and Spanier- Whitehead duality. Zbl 0718.46055
Schochet, Claude
1990
Global analysis on foliated spaces. Zbl 0648.58034
Moore, Calvin C.; Schochet, Claude
1988
The Künneth theorem and the universal coefficient theorem for Kasparov’s generalized K-functor. Zbl 0644.46051
Rosenberg, Jonathan; Schochet, Claude
1987
The Künneth theorem and the universal coefficient theorem for equivariant K-theory and KK-theory. Zbl 0607.46043
Rosenberg, Jonathan; Schochet, Claude
1986
Topological methods for $$C^*$$-algebras. IV: Mod p homology. Zbl 0491.46062
Schochet, Claude
1984
Topological methods for $$C^*$$-algebras. III: Axiomatic homology. Zbl 0491.46061
Schochet, Claude
1984
Homogeneous extensions of $$C^*$$-algebras and K-theory. II. Zbl 0531.46047
Schochet, Claude
1983
Topological methods for C*-algebras. II: Geometric resolutions and the Kuenneth formula. Zbl 0439.46043
Schochet, Claude
1982
Topological methods for C*-algebras. I: Spectral sequences. Zbl 0426.46057
Schochet, Claude
1981
The classification of extensions of C*-algebras. Zbl 0473.46047
Rosenberg, Jonathan; Schochet, Claude
1981
Comparing functors classifying extensions of C*-algebras. Zbl 0472.46050
Rosenberg, Jonathan; Schochet, Claude
1981
Homogeneous extensions of C*-algebras and K-theory. I. Zbl 0441.46057
Schochet, Claude
1980
Covariant representations on the Calkin algebra. II. Zbl 0447.46050
Schochet, Claude
1980
Covariant representations on the Calkin algebra. I. Zbl 0401.46035
Loebl, Richard; Schochet, Claude
1978
Generalized homology theories on compact metric spaces. Zbl 0384.55001
Kahn, Daniel S.; Kaminker, Jerome; Schochet, Claude
1977
K-theory and Steenrod homology: Applications to the Brown-Douglas- Fillmore theory of operator algebras. Zbl 0368.46054
Kaminker, Jerome; Schochet, Claude
1977
Topological obstructions to perturbations of pairs of operators. Zbl 0367.55021
Kaminker, Jerome; Schochet, Claude
1977
$$K_1$$ of the compact operators is zero. Zbl 0345.47024
Brown, L. G.; Schochet, Claude
1976
Steenrod homology and operator algebras. Zbl 0325.55009
Kaminker, Jerome; Schochet, Claude
1975
On the structure of graded formal groups of finite characteristic. Zbl 0245.55006
Schochet, Claude
1973
On the bordism ring of complex projective space. Zbl 0248.57022
Schochet, Claude
1973
Differentials in the Eilenberg-Moore spectral sequence. Zbl 0237.55016
Kraines, David; Schochet, Claude
1972
Coalgebra extensions in two-stage Postnikov systems. Zbl 0235.55019
Harper, John; Schochet, Claude
1972
A two-stage Postnikov system where $$E_ 2 \neq E_ \infty$$ in the Eilenberg-Moore spectral sequence. Zbl 0214.21902
Schochet, C.
1971
Cobordism from an algebraic point of view. Zbl 0222.57025
Schochet, Claude
1971
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### Cited by 362 Authors

 20 Dadarlat, Marius 20 Lin, Huaxin 18 Schochet, Claude L. 10 Hurder, Steven E. 8 Lukina, Olga 8 Rosenberg, Jonathan Micah 8 Ruiz, Efren 7 Benameur, Moulay-Tahar 7 Kaminker, Jerome 7 Lin, James P. 7 Phillips, N. Christopher 6 Barlak, Selçuk 6 Mahanta, Snigdhayan 6 Thomsen, Klaus E. 5 Clark, Alex 5 Douglas, Ronald George 5 Elliott, George A. 5 Loring, Terry A. 4 Bentmann, Rasmus 4 Candel, Alberto 4 Eckhardt, Caleb 4 Eilers, Søren 4 Gabe, James 4 Izumi, Masaki 4 Kasparov, Gennadi G. 4 Putnam, Ian F. 4 Skandalis, Georges 4 Smith, Samuel Bruce 4 Yu, Guoliang 3 Álvarez López, Jesús Antonio 3 Boersema, Jeffrey L. 3 Chakraborty, Partha Sarathi 3 Gong, Guihua 3 Hua, Jiajie 3 Katsura, Takeshi 3 Kuribayashi, Katsuhiko 3 Lück, Wolfgang 3 Mathai, Varghese 3 Matui, Hiroki 3 McKenney, Paul E. 3 Meyer, Ralf 3 Munkholm, Hans Jørgen 3 Oyono-Oyono, Hervé 3 Pal, Arupkumar 3 Pask, David 3 Restorff, Gunnar 3 Suzuki, Yuhei 3 Szabo, Richard J. 3 Tikuisis, Aaron Peter 3 Wei, Changguo 3 White, Stuart Andrew 3 Winter, Wilhelm 3 Wu, Jianchao 2 Alvarez, Sébastien 2 Arano, Yuki 2 Azzali, Sara 2 Barral Lijó, Ramón 2 Bauer, Friedrich-Wilhelm 2 Bönicke, Christian 2 Brown, Nathanial P. 2 Bukhshtaber, Viktor Matveevich 2 Deeley, Robin J. 2 Dell’Ambrogio, Ivo 2 Deninger, Christopher 2 Dyer, Jessica 2 Fisher, David Michael 2 Gillaspy, Elizabeth 2 Goffeng, Magnus 2 Hastings, Harold M. 2 Hegenbarth, Friedrich 2 Hirshberg, Ilan 2 Hunton, John Robert 2 Ida, Cristian 2 Kishimoto, Akitaka 2 Klein, John Robert 2 Kordyukov, Yuri A. 2 Kwaśniewski, Bartosz Kosma 2 Li, Hui 2 Li, Xin 2 Li, Zhiqiang 2 Liu, Junping 2 Liu, Xiugui 2 Lupton, Gregory M. 2 Margulis, Grigoriĭ Aleksandrovich 2 Nest, Ryszard 2 Ng, Ping Wong 2 Nistor, Victor 2 Osaka, Hiroyuki 2 Pedersen, Gert Kjærgård 2 Pflaum, Markus J. 2 Posthuma, Hessel Bouke 2 Raeburn, Iain 2 Reis, Rui M. G. 2 Rennie, Adam 2 Repovš, Dušan D. 2 Roy, Indrava 2 Santiago, Luis 2 Sims, Aidan 2 Skalski, Adam G. 2 Suzaki, Kiyotaka ...and 262 more Authors
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### Cited in 92 Serials

 45 Journal of Functional Analysis 25 Transactions of the American Mathematical Society 21 Advances in Mathematics 20 $$K$$-Theory 16 Proceedings of the American Mathematical Society 13 Communications in Mathematical Physics 13 Journal of Pure and Applied Algebra 13 Topology and its Applications 11 International Journal of Mathematics 10 Journal of Noncommutative Geometry 9 Journal für die Reine und Angewandte Mathematik 8 Journal of Geometry and Physics 8 Journal of Topology and Analysis 8 Journal of $$K$$-Theory 7 Duke Mathematical Journal 7 Mathematische Annalen 7 Ergodic Theory and Dynamical Systems 6 Rocky Mountain Journal of Mathematics 6 Annales de l’Institut Fourier 5 Inventiones Mathematicae 4 Israel Journal of Mathematics 4 Indagationes Mathematicae. New Series 4 Annals of Mathematics. Second Series 4 Bulletin of the American Mathematical Society 4 Journal of Homotopy and Related Structures 3 Canadian Journal of Mathematics 3 Journal of Soviet Mathematics 3 Mathematische Zeitschrift 3 Differential Geometry and its Applications 3 Acta Mathematica Sinica. English Series 3 Algebraic & Geometric Topology 3 Annals of $$K$$-Theory 2 Bulletin of the Australian Mathematical Society 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Glasgow Mathematical Journal 2 Publications Mathématiques 2 Journal of Algebra 2 Mathematica Scandinavica 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Forum Mathematicum 2 Geometric and Functional Analysis. GAFA 2 Bulletin of the American Mathematical Society. New Series 2 Russian Journal of Mathematical Physics 2 The New York Journal of Mathematics 2 Bulletin des Sciences Mathématiques 2 Journal of the Australian Mathematical Society 2 Kyoto Journal of Mathematics 2 Annals of Functional Analysis 1 Communications in Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reviews in Mathematical Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Colloquium Mathematicum 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematika 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quaestiones Mathematicae 1 Tôhoku Mathematical Journal. Second Series 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Annals of Global Analysis and Geometry 1 IMRN. International Mathematics Research Notices 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Expositiones Mathematicae 1 Topological Methods in Nonlinear Analysis 1 Applied Categorical Structures 1 St. Petersburg Mathematical Journal 1 Selecta Mathematica. New Series 1 Documenta Mathematica 1 Vietnam Journal of Mathematics 1 Geometry & Topology 1 Algebras and Representation Theory 1 Revista Matemática Complutense 1 Communications in Contemporary Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Banach Journal of Mathematical Analysis 1 Forum of Mathematics, Sigma 1 Bollettino dell’Unione Matematica Italiana
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### Cited in 34 Fields

 250 Functional analysis (46-XX) 95 $$K$$-theory (19-XX) 71 Algebraic topology (55-XX) 62 Global analysis, analysis on manifolds (58-XX) 49 Manifolds and cell complexes (57-XX) 40 Dynamical systems and ergodic theory (37-XX) 31 Differential geometry (53-XX) 23 Topological groups, Lie groups (22-XX) 22 Category theory; homological algebra (18-XX) 18 Operator theory (47-XX) 17 Group theory and generalizations (20-XX) 11 Associative rings and algebras (16-XX) 11 Quantum theory (81-XX) 8 General topology (54-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Convex and discrete geometry (52-XX) 5 Algebraic geometry (14-XX) 5 Nonassociative rings and algebras (17-XX) 5 Abstract harmonic analysis (43-XX) 3 Combinatorics (05-XX) 3 Commutative algebra (13-XX) 3 Measure and integration (28-XX) 3 Partial differential equations (35-XX) 2 Number theory (11-XX) 2 Functions of a complex variable (30-XX) 2 Probability theory and stochastic processes (60-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX)