{ "id": "math/0510330", "version": "v1", "published": "2005-10-16T13:24:19.000Z", "updated": "2005-10-16T13:24:19.000Z", "title": "Cuntz-Pimsner C*-algebras and crossed products by Hilbert C*-bimodules", "authors": [ "Beatriz Abadie", "Mauricio Achigar" ], "comment": "20 pages, AMSLaTeX", "categories": [ "math.OA" ], "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.", "revisions": [ { "version": "v1", "updated": "2005-10-16T13:24:19.000Z" } ], "analyses": { "subjects": [ "46L05", "46L08" ], "keywords": [ "crossed product", "augmented cuntz-pimsner", "construction enables", "morita equivalent" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math.....10330A" } } }