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- W2955571742 abstract "Let $C^*(cls)$ be the $C^*$ algebra generated by an operator system $cls$ i.e. a unital $*$-closed subspace of a unital $C^*$ algebra $cla$. We prove that any complete order isomorphism $cli:cls raro cls'$ between two such operator systems of matrix algebras has a unique extension to a $C^*$-isomorphism $cli:C^*(cls) raro C^*(cls')$. However, the same statement with more general operator systems of infinite dimensional $C^*$-algebra is false. As an application of this result, we characterise upto cocycle conjugacy the extreme points of unital completely positive maps on matrix algebra." @default.
- W2955571742 created "2019-07-12" @default.
- W2955571742 creator A5033968468 @default.
- W2955571742 date "2013-04-25" @default.
- W2955571742 modified "2023-09-27" @default.
- W2955571742 title "Hann-Banach-Arveson extension theorem and Hyper-rigidity" @default.
- W2955571742 hasPublicationYear "2013" @default.
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