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.
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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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.
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.
Imprint | Springer |
Country of origin | United States |
Release date | September 2008 |
Availability | Supplier out of stock. If you add this item to your wish list we will let you know when it becomes available. |
First published | September 2008 |
Authors | Joachim Cuntz, Ralf Meyer, Jonathan M. Rosenberg |
Dimensions | 170 x 244 x 15mm (L x W x T) |
Format | Paperback - Trade |
Pages | 280 |
ISBN-13 | 978-3-7643-9202-4 |
Barcode | 9783764392024 |
Categories | |
LSN | 3-7643-9202-9 |