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

摘要

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