Edit Profile (opens in new tab) Natsume, Toshikazu Compute Distance To: Compute Author ID: natsume.toshikazu Published as: Natsume, Toshikazu; Natsume, T. External Links: MGP Documents Indexed: 29 Publications since 1978, including 1 Book 1 Contribution as Editor · 2 Further Contributions Co-Authors: 13 Co-Authors with 18 Joint Publications 277 Co-Co-Authors all top 5 Co-Authors 11 single-authored 7 Nest, Ryszard 4 Elliott, George A. 3 Moriyoshi, Hitoshi 2 Choda, Marie 2 Natsume, Hiroko 1 Araki, Huzihiro 1 Dito, Giuseppe 1 Hakeda, Jôsuke 1 Hamana, Masamichi 1 Hofmann, Gerald 1 Ikunishi, Akio 1 Kajiwara, Tsuyoshi 1 Kotani, Motoko 1 Kumjian, Alexander 1 Kusuda, Masaharu 1 Maeda, Yoshiaki 1 Masuda, Tetsuya 1 Nakazato, Hiroshi 1 Olsen, Catherine L. 1 Ozawa, Masanao 1 Peter, Ingo J. 1 Saitô, Kazuyuki 1 Schack, Samuel D. 1 Takai, Hiroshi 1 Takemoto, Hideo 1 Tomiyama, Jun 1 Watamura, Satoshi all top 5 Serials 3 \(K\)-Theory 2 Communications in Mathematical Physics 2 Journal of Functional Analysis 2 Kodai Mathematical Journal 2 Journal of Operator Theory 1 Letters in Mathematical Physics 1 Acta Mathematica 1 Canadian Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Pure and Applied Algebra 1 Mathematica Scandinavica 1 Pacific Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Ergodic Theory and Dynamical Systems 1 Saitama Mathematical Journal 1 The Science Reports of Saitama University. Series A. Mathematics, Physics, Chemistry, and Biochemistry 1 Translations of Mathematical Monographs 1 Keio COE Lecture Series on Mathematical Science 1 RIMS Kokyuroku all top 5 Fields 26 Functional analysis (46-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Manifolds and cell complexes (57-XX) 4 \(K\)-theory (19-XX) 4 Operator theory (47-XX) 3 Category theory; homological algebra (18-XX) 3 Differential geometry (53-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 2 Quantum theory (81-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 115 times in 93 Documents Cited by ▼ Year ▼ Cyclic cohomology for one-parameter smooth crossed products. Zbl 0655.46054Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard 33 1988 The Heisenberg group and \(K\)-theory. Zbl 0803.46076Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard 12 1993 Topological approach to quantum surfaces. Zbl 0961.46042Natsume, Toshikazu; Nest, Ryszard 10 1999 Strict quantizations of symplectic manifolds. Zbl 1064.53062Natsume, Toshikazu; Nest, Ryszard; Peter, Ingo 10 2003 The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanics. Zbl 0876.58047Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard 7 1996 A decomposition for the cyclic cohomology of a commutative algebra. Zbl 0704.46048Natsume, Toshikazu; Schack, Samuel D. 7 1989 Cyclic cohomology of certain affine schemes. Zbl 0606.13011Masuda, Tetsuya; Natsume, Toshikazu 7 1985 The Godbillon-Vey cyclic cocycle and longitudinal Dirac operators. Zbl 0852.58077Moriyoshi, Hitoshi; Natsume, Toshikazu 6 1996 Toeplitz operators on noncommutative spheres and an index theorem. Zbl 0906.46054Natsume, T.; Olsen, C. L. 5 1997 A Bott periodicity map for crossed products of C *-algebras by discrete groups. Zbl 0638.46047Elliott, George A.; Natsume, Toshikazu 5 1987 \(C^*\)-algebraic deformation quantization of closed Riemann surfaces. Zbl 1015.46040Natsume, Toshikazu 3 2000 The \(C^*\)-algebras of codimension one foliations without holonomy. Zbl 0581.46057Natsume, Toshikazu 3 1985 Operator algebras and geometry. Transl. from the Japanese by Hitoshi Moriyoshi and Toshikazu Natsume. Zbl 1163.46001Moriyoshi, Hitoshi; Natsume, Toshikazu 2 2008 Certain Weil algebras of infinite-dimensional Lie algebras. Zbl 0396.17009Natsume, Toshikazu 2 1978 The cyclic cohomology of compact Lie groups and the direct sum formula. Zbl 0726.22008Natsume, Toshikazu; Nest, Ryszard 2 1990 Topological K-theory for codimension one foliations without holonomy. Zbl 0658.57015Natsume, Toshikazu 1 1985 Rieffel projections in certain transformation group \(C^*\)-algebras. Zbl 0810.46076Natsume, T.; Olsen, C. L. 1 1992 The local structure of the cyclic cohomology of Heisenberg Lie groups. Zbl 0835.19003Natsume, T.; Nest, R. 1 1994 The Baum-Connes conjecture, the commutator theorem, and Rieffel projections. Zbl 0664.46069Natsume, Toshikazu 1 1988 A new role of graph projections in index theory. Zbl 0840.46047Natsume, T. 1 1993 A new family of noncommutative 2-spheres. Zbl 1032.46093Natsume, Toshikazu; Olsen, Catherine L. 1 2003 Some noncommutative spheres. Zbl 1083.46039Natsume, T. 1 2005 On \(K_*(C^*(SL_ 2(Z)))\) (appendix to ”K-theory for certain group \(C^*\)-algebras” by E. C. Lance). Zbl 0581.46056Natsume, Toshikazu 1 1985 Diagonals in algebras of continuous trace. With an appendix by T. Natsume. Zbl 0596.46066Kumjian, Alex 1 1985 Note on the class of unit in \(K_ 0(C(S^ 1)\rtimes _ r\Gamma _ G)\). Zbl 0616.46065Natsume, Toshikazu 1 1985 Operator algebras and geometry. Transl. from the Japanese by Hitoshi Moriyoshi and Toshikazu Natsume. Zbl 1163.46001Moriyoshi, Hitoshi; Natsume, Toshikazu 2 2008 Some noncommutative spheres. Zbl 1083.46039Natsume, T. 1 2005 Strict quantizations of symplectic manifolds. Zbl 1064.53062Natsume, Toshikazu; Nest, Ryszard; Peter, Ingo 10 2003 A new family of noncommutative 2-spheres. Zbl 1032.46093Natsume, Toshikazu; Olsen, Catherine L. 1 2003 \(C^*\)-algebraic deformation quantization of closed Riemann surfaces. Zbl 1015.46040Natsume, Toshikazu 3 2000 Topological approach to quantum surfaces. Zbl 0961.46042Natsume, Toshikazu; Nest, Ryszard 10 1999 Toeplitz operators on noncommutative spheres and an index theorem. Zbl 0906.46054Natsume, T.; Olsen, C. L. 5 1997 The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanics. Zbl 0876.58047Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard 7 1996 The Godbillon-Vey cyclic cocycle and longitudinal Dirac operators. Zbl 0852.58077Moriyoshi, Hitoshi; Natsume, Toshikazu 6 1996 The local structure of the cyclic cohomology of Heisenberg Lie groups. Zbl 0835.19003Natsume, T.; Nest, R. 1 1994 The Heisenberg group and \(K\)-theory. Zbl 0803.46076Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard 12 1993 A new role of graph projections in index theory. Zbl 0840.46047Natsume, T. 1 1993 Rieffel projections in certain transformation group \(C^*\)-algebras. Zbl 0810.46076Natsume, T.; Olsen, C. L. 1 1992 The cyclic cohomology of compact Lie groups and the direct sum formula. Zbl 0726.22008Natsume, Toshikazu; Nest, Ryszard 2 1990 A decomposition for the cyclic cohomology of a commutative algebra. Zbl 0704.46048Natsume, Toshikazu; Schack, Samuel D. 7 1989 Cyclic cohomology for one-parameter smooth crossed products. Zbl 0655.46054Elliott, George A.; Natsume, Toshikazu; Nest, Ryszard 33 1988 The Baum-Connes conjecture, the commutator theorem, and Rieffel projections. Zbl 0664.46069Natsume, Toshikazu 1 1988 A Bott periodicity map for crossed products of C *-algebras by discrete groups. Zbl 0638.46047Elliott, George A.; Natsume, Toshikazu 5 1987 Cyclic cohomology of certain affine schemes. Zbl 0606.13011Masuda, Tetsuya; Natsume, Toshikazu 7 1985 The \(C^*\)-algebras of codimension one foliations without holonomy. Zbl 0581.46057Natsume, Toshikazu 3 1985 Topological K-theory for codimension one foliations without holonomy. Zbl 0658.57015Natsume, Toshikazu 1 1985 On \(K_*(C^*(SL_ 2(Z)))\) (appendix to ”K-theory for certain group \(C^*\)-algebras” by E. C. Lance). Zbl 0581.46056Natsume, Toshikazu 1 1985 Diagonals in algebras of continuous trace. With an appendix by T. Natsume. Zbl 0596.46066Kumjian, Alex 1 1985 Note on the class of unit in \(K_ 0(C(S^ 1)\rtimes _ r\Gamma _ G)\). Zbl 0616.46065Natsume, Toshikazu 1 1985 Certain Weil algebras of infinite-dimensional Lie algebras. Zbl 0396.17009Natsume, Toshikazu 2 1978 all cited Publications top 5 cited Publications all top 5 Cited by 122 Authors 7 Kellendonk, Johannes 7 Piszczek, Krzysztof 5 Nest, Ryszard 4 Natsume, Toshikazu 3 Elliott, George A. 3 Schmitt, Philipp 3 Schulz-Baldes, Hermann 3 Waldmann, Stefan 2 Arnlind, Joakim 2 Gerstenhaber, Murray 2 Hawkins, Eli 2 Lescure, Jean-Marie 2 Manuĭlov, Vladimir Markovich 2 Nistor, Victor 2 Pflaum, Markus J. 2 Piazza, Paolo 2 Schempp, Walter Johannes 2 Schötz, Matthias 2 Skandalis, Georges 1 Aastrup, Johannes 1 Andersson, Andreas 1 Antonini, Paolo 1 Azzali, Sara 1 Băbălîc, Elena-Mirela 1 Baldare, Alexandre 1 Bédos, Erik 1 Beggs, Edwin J. 1 Bettaieb, Hela 1 Bieliavsky, Pierre 1 Binz, Ernst 1 Blanchard, Etienne F. 1 Bordemann, Martin 1 Brodzki, Jacek 1 Carrillo-Rouse, Paulo 1 Chabert, Jérôme 1 Ciaś, Tomasz 1 Dave, Shantanu 1 De Nittis, Giuseppe 1 Debord, Claire 1 Domański, Ziemowit 1 Echterhoff, Siegfried 1 Emmanouil, Ioannis 1 Esposito, Chiara 1 Feng, Ping 1 Galindo, Jorge 1 Geller, Susan C. 1 Hamasaki, Atsumi 1 Hamilton, Alastair 1 Hochs, Peter 1 Hofer, Laurent 1 Hoppe, Jens 1 Hurder, Steven E. 1 Kamimura, Shingo 1 Kassel, Christian 1 Kirchberg, Eberhard 1 Klimek, Slawomir 1 Kordyukov, Yuri A. 1 Kraus, Daniela 1 Langevin, Rémi 1 Larsen, Michael Jeffrey 1 Lazarev, Andrey 1 Lazaroiu, Calin Iuliu 1 Lesch, Matthias 1 Li, Hanfeng 1 Lindenstrauss, Ayelet 1 MacDonald, Lachlan Ewen 1 Maeda, Yoshiaki 1 Majadas, Javier 1 Mathai, Varghese 1 Matthey, Michel 1 Mcbride, Matt 1 Miyazaki, Naoya 1 Monthubert, Bertrand 1 Moriyoshi, Hitoshi 1 Moscovici, Henri 1 Neshveyev, Sergey V. 1 Olsen, Catherine L. 1 Omori, Hideki 1 Oyono-Oyono, Hervé 1 Pandiscia, Carlo 1 Pankrashkin, Konstantin 1 Patras, Frédéric 1 Peoples, John Wilson 1 Petite, Samuel 1 Ponge, Raphaël S. 1 Posthuma, Hessel Bouke 1 Prodan, Emil 1 Przestacki, Adam 1 Rangipour, Bahram 1 Rennie, Adam 1 Richard, Serge 1 Richter, Thomas Michael 1 Ródenas, Ana María 1 Rodicio, Antonio Garcia 1 Rosenberg, Jonathan Micah 1 Roth, Oliver 1 Sandoval, Maximiliano 1 Schack, Samuel D. 1 Schick, Thomas 1 Schrohe, Elmar ...and 22 more Authors all top 5 Cited in 45 Serials 11 Communications in Mathematical Physics 8 Journal of Functional Analysis 6 \(K\)-Theory 4 Journal of Pure and Applied Algebra 4 Journal of \(K\)-Theory 3 Letters in Mathematical Physics 3 Journal of Geometry and Physics 3 Proceedings of the American Mathematical Society 3 Results in Mathematics 2 Communications in Algebra 2 Journal of Mathematical Physics 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Inventiones Mathematicae 2 Monatshefte für Mathematik 2 Forum Mathematicum 2 Annales Henri Poincaré 2 Journal of Noncommutative Geometry 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Journal of Algebra 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tokyo Journal of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Journal of Mathematical Sciences (New York) 1 The New York Journal of Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Journal of High Energy Physics 1 Algebraic & Geometric Topology 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Topology 1 Journal of Topology and Analysis 1 Confluentes Mathematici 1 Kyoto Journal of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Annals of Functional Analysis 1 Annals of \(K\)-Theory all top 5 Cited in 27 Fields 55 Functional analysis (46-XX) 21 \(K\)-theory (19-XX) 21 Quantum theory (81-XX) 20 Global analysis, analysis on manifolds (58-XX) 14 Differential geometry (53-XX) 12 Associative rings and algebras (16-XX) 10 Operator theory (47-XX) 9 Commutative algebra (13-XX) 6 Nonassociative rings and algebras (17-XX) 6 Manifolds and cell complexes (57-XX) 5 Group theory and generalizations (20-XX) 5 Topological groups, Lie groups (22-XX) 5 Algebraic topology (55-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Algebraic geometry (14-XX) 4 Category theory; homological algebra (18-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Abstract harmonic analysis (43-XX) 2 Combinatorics (05-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Biology and other natural sciences (92-XX) Citations by Year