Cuntz-Pimsner C*-algebras and crossed products by Hilbert C*-bimodules
Operator Algebras
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0510330,
title = {Cuntz-Pimsner C*-algebras and crossed products by Hilbert C*-bimodules},
author = {Beatriz Abadie and Mauricio Achigar},
journal= {arXiv preprint arXiv:math/0510330},
year = {2007}
}
Comments
20 pages, AMSLaTeX