Alberto E. Marrero

collaborators

2 papers

math.OA2007

Groupoid and Inverse Semigroup Presentations of Ultragraph $C^{*}$ -Algebras

Alberto Marrero, Paul S. Muhly

Inspired by the work of Paterson on $C^{*}$ -algebras of directed graphs, we show how to associate a groupoid $G_{G}$ to an ultragraph $G$ in such…

math.OA2004

Cuntz-Pimsner Algebras, Completely Positive Maps and Morita Equivalence

Alberto E. Marrero, Paul S. Muhly

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

Groupoid and Inverse Semigroup Presentations of Ultragraph C∗-Algebras

Cuntz-Pimsner Algebras, Completely Positive Maps and Morita Equivalence

Groupoid and Inverse Semigroup Presentations of Ultragraph $C^{*}$ -Algebras