Cuntz-Pimnser algebras, completely positive maps and Morita equivalence |
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| Authors: | Alberto E Marrero Paul S Muhly |
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| Institution: | Department of Mathematics, University of Iowa, Iowa City, Iowa 52242 ; Department of Mathematics, University of Iowa, Iowa City, Iowa 52242 |
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| Abstract: | Let  be a completely positive map on  and let  be the associated GNS- -correspondence. We prove a result that implies, in particular, that the Cuntz-Pimsner algebra of  ,  , is strongly Morita equivalent to the Cuntz algebra  , where  is the index of  . |
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| Keywords: | Cuntz-Pimsner algebras completely positive maps Morita equivalence |
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