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

Research paper by Beatriz Abadie, Mauricio Achigar

Indexed on: 16 Oct '05Published on: 16 Oct '05Published in: Mathematics - Operator Algebras


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.