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

Beatriz Abadie·Mauricio Achigar
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Abstract

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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Beatriz Abadie, Mauricio Achigar. 2005-10-16. Cuntz-Pimsner C*-algebras and crossed products by Hilbert C*-bimodules. https://arxiv.org/abs/math/0510330

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