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...
Gorde:
| Egile Nagusiak: | , , , |
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| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Edizioa: | 1st ed. 2007. |
| Saila: | Oberwolfach Seminars
36 |
| Gaiak: | |
| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
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 |
| Gaia: | 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 |
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| Alearen deskribapena: | L'impression du document génère 277 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografia: | Bibliogr. Index |
| ISBN: | 9783764383992 |
| ISSN: | 2296-5041 |
| Sartu: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |