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.
| Autorius: | Jonathan M. Rosenberg, Joachim Cuntz, |
| Serija: | Oberwolfach Seminars |
| Leidėjas: | Birkhäuser Basel |
| Išleidimo metai: | 2007 |
| Knygos puslapių skaičius: | 280 |
| ISBN-10: | 3764383984 |
| ISBN-13: | 9783764383985 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Algebraic topology |
Parašykite atsiliepimą apie „Topological and Bivariant K-Theory“
