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...
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Full text (MCPHS users only) |
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| Main Author: | |
| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Providence, R.I. :
American Mathematical Society,
2000
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| Series: | Memoirs of the American Mathematical Society ;
no. 703. |
| Subjects: | |
| Local Note: | ProQuest Ebook Central |
| Summary: | 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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| Physical Description: | 1 online resource (viii, 86 pages) |
| Bibliography: | Includes bibliographical references (pages 85-86). |
| ISBN: | 9781470402945 1470402947 |
| ISSN: | 1947-6221 ; 0065-9266 |
| Language: | English. |
| Source of Description, Etc. Note: | Print version record. |
