Operational extreme points of unital completely positive maps

2016/02/01 by Choda, Marie
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1602.00365

Abstract

Two notions for linear maps (operational convex combinations and operational exetreme points) are introduced. The set S of ucp maps on the n times n matrix algebra is the operational convex combinations of the identity map. An operational extreme point of S is an extreme point of S but the converse does not hold, and every automorphism is an operational extreme point of S.

Related

• C^*-extreme points of unital completely positive maps on real C^*-algebras
• Operational extreme points and Cuntz's canonical endomorphism
• Unital completely positive maps and their operator systems
• C^*-extreme contractive completely positive maps
• C^∗-extreme maps and nests