Cuntz-Pimsner $C*$-Algebras and Crossed Products by Hilbert $C*$-Bimodules

Autor:	Beatriz Abadie, Mauricio Achigar
Rok vydání:	2009
Předmět:	Algebra Pure mathematics 46L05 Crossed product Mathematics::K-Theory and Homology Mathematics::Operator Algebras General Mathematics Morita therapy Mathematics - Operator Algebras Morita equivalence 46L08 Mathematics
Zdroj:	Rocky Mountain J. Math. 39, no. 4 (2009), 1051-1081
ISSN:	0035-7596
DOI:	10.1216/rmj-2009-39-4-1051
Popis:	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. Comment: 20 pages, AMSLaTeX
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95adda0a6451489e4ae8dd7870272cde https://doi.org/10.1216/rmj-2009-39-4-1051 Zobrazit plný text záznamu