The completely bounded approximation property for extended Cuntz-Pimsner algebras

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The extended Cuntz-Pimsner algebra E(H), introduced by Pimsner, is constructed from a Hilbert B,B-bimodule H over a C*-algebra B. In this paper we investigate the Haagerup invariant Λ(.) for these algebras, the main result being that Λ(E(H))=Λ(B) when H is full over B. In particular, E(H) has the completely bounded approximation property if and only if the same is true for B.
9 pages

Keywords

Operator Algebras

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/69201

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311247
 http://arxiv.org/abs/math/0311247

Collections

arXiv