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...
| Autores principales: | , |
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Basel :
Birkhäuser Basel
2007.
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| Edición: | 1st ed. 2007. |
| Colección: | Oberwolfach Seminars,
36 |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009462058306719 |
| Sumario: | 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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| Notas: | Description based upon print version of record. |
| Descripción Física: | 1 online resource (267 p.) |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9783764383992 |
