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On Completely Positive Maps Defined by an Irreducible Correspondence
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1990
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