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Equivariant E-theory for C*-algebras /
Let A and B be C*-algebras which are equipped with continuous actions of a second countable, locally compact group G. We define a notion of equivariant asymptotic morphism, and use it to define equivariant E-theory groups E G(A, B) which generalize the E-theory groups of Connes and Higson. We develo...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
©2000.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 703. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | Let A and B be C*-algebras which are equipped with continuous actions of a second countable, locally compact group G. We define a notion of equivariant asymptotic morphism, and use it to define equivariant E-theory groups E G(A, B) which generalize the E-theory groups of Connes and Higson. We develop the basic properties of equivariant E-theory, including a composition product and six-term exact sequences in both variables, and apply our theory to the problem of calculating K-theory for group C*-algebras. Our main theorem gives a simple criterion for the assembly map of Baum and Connes to be an isomorphism. The result plays an important role in recent work of Higson and Kasparov on the Baum-Connes conjecture for groups which act isometrically and metrically properly on Hilbert space. |
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| Descripción Física: | 1 online resource (viii, 86 pages) |
| Bibliografía: | Includes bibliographical references (pages 85-86). |
| ISBN: | 9781470402945 1470402947 |
| ISSN: | 1947-6221 ; 0065-9266 |