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On Completely Positive Maps Defined by an Irreducible Correspondence

Published online by Cambridge University Press:  20 November 2018

C. Anantharaman-Delaroche
C. Anantharaman-Delaroche*
Affiliation:
Université d'Orléans Département de Mathématiques et d'Informatique B.P. 6759, 45067 ORLEANS Cedex 2, France
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Abstract

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Completely positive maps defined by an irreducible correspondence between two von Neumann algebras M and N are introduced. We give results about their structure and characterize, among them, those which are extreme points in the convex set of all unital completely positive maps from M to N. As particular cases we obtain known results of M. D. Choi [4] on completely positive maps between complex matrices and of J. A. Mingo [8] on inner completely positive maps.

Keywords

46L1046L30
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 4 , 01 December 1990 , pp. 434 - 441
Copyright
Copyright © Canadian Mathematical Society 1990

References

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