2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103682Given 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.20 pages, AMSLaTeXOperator Algebras46L05; 46L08Cuntz-Pimsner C*-algebras and crossed products by Hilbert C*-bimodulestext