Topological and Bivariant K-theory
(Sprache: Englisch)
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.
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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.
Klappentext zu „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.
Inhaltsverzeichnis zu „Topological and Bivariant K-theory “
- 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
Bibliographische Angaben
- Autoren: Joachim Cuntz , Jonathan M. Rosenberg
- 2007, 262 Seiten, Maße: 17 x 24,2 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 3764383984
- ISBN-13: 9783764383985
- Erscheinungsdatum: 19.07.2007
Sprache:
Englisch
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