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...
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2007. |
| Collection: | Oberwolfach Seminars
36 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
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 |
Table des matières:
- 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