Cuntz-Pimsner C*-algebras and crossed products by Hilbert C*-bimodules

Details Cuntz-Pimsner C*-algebras and crossed products by Hilbert C*-bimodules Cuntz-Pimsner C*-algebras and crossed products by Hilbert C*-bimodules

2005-10-16

arxiv.org/abs/math/0510330v1

Mathematics

Operator Algebras

20 pages, AMSLaTeX

Scientific paper

Given a correspondence X over a C*-algebra A, we construct a C*-algebra and a
Hilbert C*-bimodule over it whose crossed product is isomorphic to the
augmented Cuntz-Pimsner C*-algebra of X. This construction enables us to
establish a condition for two augmented Cuntz-Pimsner C*-algebras to be Morita
equivalent.

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