Cuntz-Pimsner Algebras, Completely Positive Maps and Morita Equivalence

Alberto E. Marrero, Paul S. Muhly

Let $P$ be a completely positive map on $M_n(\mathbb{C})$ and let $E_P$ be the associated \emph{GNS}-$C^{\ast }$-correspondence. We prove a result that implies, in particular, that the C…