Cuntz-Pimsner Algebras, Completely Positive Maps and Morita Equivalence

Simple item page
dc.creatorMarrero, Alberto E.
dc.creatorMuhly, Paul S.
dc.date2004-09-27
dc.date.accessioned2026-07-07T05:12:36Z
dc.date.available2026-07-07T05:12:36Z
dc.descriptionLet $P$ be a completely positive map on $M_n(\mathbb{C})$ and let $E_P$ be the associated \emph{GNS}-$C^*$-correspondence. We prove a result that implies, in particular, that the Cuntz-Pimsner algebra of $E_P$, $\mathcal{O}(E_P)$, is strongly Morita equivalent to the Cuntz algebra $\mathcal{O}_{d(P)}$, where $d(P)$ is the index of $P$.
dc.identifierhttps://arxiv.org/abs/math/0409511
dc.identifierhttp://arxiv.org/abs/math/0409511
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72636
dc.subjectOperator Algebras
dc.subjectMathematical Physics
dc.subject46L07, 46L57; 46L60
dc.titleCuntz-Pimsner Algebras, Completely Positive Maps and Morita Equivalence
dc.typetext

Files

Collections

arXiv