CUNTZ-PIMSNER C*-ALGEBRAS ANDCROSSED PRODUCTS BY HILBERT C*-BIMODULES

摘要

Given a correspondence X over a C*-algebra A, we construct a C*-algebra Al and a Hilbert C*-bimodule X_∞ over AI such that the augmented Cuntz-Pimsner C*- algebras ax and the crossed product A~x_∞iAX are isomorphic. This construction enables us to establish a condition for two augmented Cuntz-Pimsner C*-algebras to be Morita equivalent.