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Media type:
E-Article
Title:
Cuntz-Pimnser Algebras, Completely Positive Maps and Morita Equivalence
Contributor:
Muhly, Paul S.
Published:
American Mathematical Society, 2006
Published in:
Proceedings of the American Mathematical Society, 134 (2006) 4, Seite 1133-1135
Language:
English
ISSN:
0002-9939;
1088-6826
Origination:
Footnote:
Description:
Let P be a completely positive map on$M_n(\mathbb{C})$and let EPbe the associated GNS-C*-correspondence. We prove a result that implies, in particular, that the Cuntz-Pimsner algebra of EP,$\mathcal{O}(E_P)$, is strongly Morita equivalent to the Cuntz algebra$\mathcal{O}_{d(P)}$, where d(P) is the index of P.