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The completely bounded approximation property for extended Cuntz-Pimsner algebras

Kenneth J. Dykema·Roger R. Smith
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Abstract

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.

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BibTeXRIS

Kenneth J. Dykema, Roger R. Smith. 2003-11-14. The completely bounded approximation property for extended Cuntz-Pimsner algebras. https://arxiv.org/abs/math/0311247

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