Title of article
Morita Equivalences for Completely Positive Linear Maps and GNS-C*-Correspondences
Author/Authors
Kodaka ، Kazunori Department of Mathematical Sciences - Faculty of Science - Ryukyu University
From page
1
To page
18
Abstract
We define the notion of (strong) Morita equivalence of completely positive linear maps from a unital C∗-algebra to the C∗-algebra of (bounded) adjointable operators on a right Hilbert C∗-module. For pairs of mutually (strong) Morita equivalent unital C∗-algebras, we construct a bijective correspondence between the corresponding sets of Morita equivalence classes of completely positive linear maps and we discuss the relation of Morita equivalences for completely positive linear maps and GNS-C∗- correspondences.
Keywords
C* , algebras , Completely positive maps , Equivalence bimodules , GNS , C* , correspondences , Morita equivalence ,
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2757050
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