Extreme positive linear maps onC *-algebras
Copyright policy )Extreme positive linear maps onC *-algebras
Let A be a unital \(C^ *\)-algebra and let B be a von Neumann algebra. Let S(A,B) be the convex set of unital positive linear maps between A and B. We prove that the extreme points of S(A,B) are exactly the unital algebra homomorphisms if and only if A is abelian and, either B is abelian or dim A\(<3\).
- DigiZeitschriften Germany
- Department of Mathematical Sciences Russian Federation
- Goldsmiths University of London United Kingdom
General theory of \(C^*\)-algebras, 510.mathematics, unitial algebra homomorphisms, unital \(C^ *\)-algebra, Convex sets and cones of operators, convex set of unital positive linear maps, extreme points, Article, von Neumann algebra
General theory of \(C^*\)-algebras, 510.mathematics, unitial algebra homomorphisms, unital \(C^ *\)-algebra, Convex sets and cones of operators, convex set of unital positive linear maps, extreme points, Article, von Neumann algebra
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