Topological and Bivariant K-Theory
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. We describe a bivariant K-theory for bornological a...
| Main Authors: | , |
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| Format: | eBook |
| Language: | Inglés |
| Published: |
Basel :
Birkhäuser Basel
2007.
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| Edition: | 1st ed. 2007. |
| Series: | Oberwolfach Seminars,
36 |
| Subjects: | |
| See on Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009462058306719 |
| Summary: | 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. We describe a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, we discuss other approaches to bivariant K-theories for operator algebras. As applications, we study 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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| Item Description: | Description based upon print version of record. |
| Physical Description: | 1 online resource (267 p.) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9783764383992 |
