Crossed products of operator algebras /
The authors study crossed products of arbitrary operator algebras by locally compact groups of completely isometric automorphisms. They develop an abstract theory that allows for generalizations of many of the fundamental results from the selfadjoint theory to our context. They complement their gene...
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| Main Authors: | , |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Providence, RI :
American Mathematical Society,
2019.
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| Subjects: | |
| Online Access: |
Full text (MFA users only) |
| ISBN: | 9781470450717 1470450712 |
| ISSN: | 0065-9266 ; |
| Local Note: | ProQuest Ebook Central |
Table of Contents:
- Cover; Title page; Chapter 1. Introduction; Chapter 2. Preliminaries; 2.1. Generalities; 2.2. ca-correspondences and tensor algebras; 2.3. Crossed products of ca-algebras; Chapter 3. Definitions and Fundamental Results; Chapter 4. Maximal C*-covers, Iterated Crossed Products and Takai Duality; Chapter 5. Crossed Products and the Dirichlet Property; Chapter 6. Crossed Products and Semisimplicity; 6.1. Crossed products by discrete abelian groups; 6.2. Crossed products by compact abelian groups; 6.3. More examples of crossed product Dirichlet algebras
- 6.4. Semicrossed products and semisimplicityChapter 7. The Crossed Product as the Tensor Algebra of a C*-correspondence.; 7.1. Discrete groups; 7.2. The general case of a locally compact group.; 7.3. Hilbert ca-bimodules; Chapter 8. Concluding Remarks and Open Problems; Bibliography; Back Cover