On Completely Positive Maps Defined by an Irreducible Correspondence
Canadian mathematical bulletin, Tome 33 (1990) no. 4, pp. 434-441
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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.
Anantharaman-Delaroche, C. On Completely Positive Maps Defined by an Irreducible Correspondence. Canadian mathematical bulletin, Tome 33 (1990) no. 4, pp. 434-441. doi: 10.4153/CMB-1990-071-2
@article{10_4153_CMB_1990_071_2,
author = {Anantharaman-Delaroche, C.},
title = {On {Completely} {Positive} {Maps} {Defined} by an {Irreducible} {Correspondence}},
journal = {Canadian mathematical bulletin},
pages = {434--441},
year = {1990},
volume = {33},
number = {4},
doi = {10.4153/CMB-1990-071-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-071-2/}
}
TY - JOUR AU - Anantharaman-Delaroche, C. TI - On Completely Positive Maps Defined by an Irreducible Correspondence JO - Canadian mathematical bulletin PY - 1990 SP - 434 EP - 441 VL - 33 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-071-2/ DO - 10.4153/CMB-1990-071-2 ID - 10_4153_CMB_1990_071_2 ER -
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