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Beschreibung
Topological K-theory is one of the most important invariants for noncommutative algebras. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory. This book describes a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, it details other approaches to bivariant K-theories for operator algebras. The book studies a number of applications, including 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.
Details
| Verlag | Springer Basel |
| Ersterscheinung | 19. Juli 2007 |
| Maße | 24.2 cm x 17 cm |
| Gewicht | 484 Gramm |
| Format | Softcover |
| ISBN-13 | 9783764383985 |
| Auflage | 2007 |
| Seiten | 262 |
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