Topological and Bivariant K-Theory
Topological K-theory is one of the most important invariants for noncommutative algebras equipped with a suitable topology or bornology. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory. We describe a bivariant K-theory for bornological a...
שמור ב:
| Auteurs principaux: | , , , |
|---|---|
| פורמט: | Livre numérique |
| שפה: | Anglais |
| יצא לאור: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| מהדורה: | 1st ed. 2007. |
| סדרה: | Oberwolfach Seminars
36 |
| נושאים: | |
| גישה מקוונת: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| הערה: |
L'impression du document génère 277 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Topological and bivariant K-theory, Joachim Cuntz, Ralf Meyer, Jonathan M. Rosenberg, Basel, Birkhauser, 2007, 1 vol. (XI-262 p.), Oberwolfach seminars, 3-7643-8398-4 • Topological and Bivariant K-Theory, Texte imprimé, 9783764392024 • Topological and bivariant K-theory, Joachim Cuntz, Ralf Meyer, Jonathan M. Rosenberg, Basel, Birkhauser, 2007, 1 vol. (XI-262 p.), Oberwolfach seminars, 3-7643-8398-4 • Topological and Bivariant K-Theory, Texte imprimé, 9783764392024 • Topological and bivariant K-theory, Joachim Cuntz, Ralf Meyer, Jonathan M. Rosenberg, Basel, Birkhauser, 2007, 1 vol. (XI-262 p.), Oberwolfach seminars, 3-7643-8398-4 |
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|---|---|---|---|
| 001 | 939813 | ||
| 008 | 080505q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN123729556 | ||
| 020 | |a 9783764383992 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.66 | ||
| 084 | |a 19-02. 2010 | ||
| 084 | |a 19K35. 2010 | ||
| 084 | |a 19K56. 2010 | ||
| 084 | |a 46L80. 2010 | ||
| 084 | |a 58J20. 2010 | ||
| 100 | 1 | |a Cuntz, Joachim J. R., |d 1948-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Topological and Bivariant K-Theory |c Joachim Cuntz, Ralf Meyer, Jonathan M. Rosenberg. |
| 250 | |a 1st ed. 2007. | ||
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Oberwolfach Seminars |v 36 |x 2296-5041 | |
| 500 | |a L'impression du document génère 277 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a The elementary algebra of K-theory Functional calculus and topological K-theory Homotopy invariance of stabilised algebraic K-theory Bott periodicity The K-theory of crossed products Towards bivariant K-theory: how to classify extensions Bivariant K-theory for bornological algebras A survey of bivariant K-theories Algebras of continuous trace, twisted K-theory Crossed products by ? and Connes Thom Isomorphism Applications to physics Some connections with index theory Localisation of triangulated categories | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Topological K-theory is one of the most important invariants for noncommutative algebras equipped with a suitable topology or bornology. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory. We describe a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, we discuss other approaches to bivariant K-theories for operator algebras. As applications, we study K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with some of its applications, and some variants of the Atiyah-Singer Index Theorem | ||
| 650 | |a KK-théorie | ||
| 650 | |a C*-algèbres | ||
| 650 | |a Topologie algébrique | ||
| 650 | |a Théorie de l'index (mathématiques) | ||
| 650 | |a Théorèmes d'indices | ||
| 650 | |a Théorème d'Atiyah-Singer | ||
| 650 | |a K-théorie | ||
| 650 | |a Actes de congrès | ||
| 700 | 1 | |a Meyer, Ralf, |d 1974-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Rosenberg, Jonathan, |d 1951-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Rosenberg, Jonathan M. |4 aut | |
| 776 | 0 | |0 118145967 |t Topological and bivariant K-theory |f Joachim Cuntz, Ralf Meyer, Jonathan M. Rosenberg |c Basel |n Birkhauser |d 2007 |p 1 vol. (XI-262 p.) |s Oberwolfach seminars |z 3-7643-8398-4 | |
| 776 | 0 | |t Topological and Bivariant K-Theory |b Texte imprimé |z 9783764392024 | |
| 776 | 0 | |0 118145967 |t Topological and bivariant K-theory |f Joachim Cuntz, Ralf Meyer, Jonathan M. Rosenberg |c Basel |n Birkhauser |d 2007 |p 1 vol. (XI-262 p.) |s Oberwolfach seminars |z 3-7643-8398-4 | |
| 776 | 0 | |t Topological and Bivariant K-Theory |b Texte imprimé |z 9783764392024 | |
| 776 | 0 | |0 118145967 |t Topological and bivariant K-theory |f Joachim Cuntz, Ralf Meyer, Jonathan M. Rosenberg |c Basel |n Birkhauser |d 2007 |p 1 vol. (XI-262 p.) |s Oberwolfach seminars |z 3-7643-8398-4 | |
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| 997 | |0 939813 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||