Pimsner algebra, nuclear C \* -algebra, Hilbert bimodule MSC (2000) 46L08, 47L80 In the present paper, we give a short proof of the nuclearity property of a class of Cuntz-Pimsner algebras associated with a Hilbert A-bimodule M, where A is a separable and nuclear C \* -algebra. We assume that the l
Dilations of C*-Correspondences and the Simplicity of Cuntz–Pimsner Algebras
✍ Scribed by Jürgen Schweizer
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 196 KB
- Volume
- 180
- Category
- Article
- ISSN
- 0022-1236
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✦ Synopsis
We develop a dilation theory for C*-correspondences, showing that every C*-correspondence E over a C*-algebra A can be universally embedded into a Hilbert C*-bimodule X E over a C*-algebra A E such that the crossed product
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