Topological and Bivariant K-Theory
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.
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Produktdetails
Weitere Autoren: Rosenberg, Jonathan M.
- ISBN: 978-3-7643-8399-2
- EAN: 9783764383992
- Produktnummer: 33304285
- Verlag: Springer Basel AG
- Sprache: Englisch
- Erscheinungsjahr: 2007
- Seitenangabe: 262 S.
- Plattform: PDF
- Masse: 2'720 KB
- Auflage: 2007
- Abbildungen: Bibliographie
- Reihenbandnummer: 36
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