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arXiv · 1610.02165

Quasi Hyperrigidity and Weak Peak Points for Non-Commutative Operator Systems

M. N. N. Namboodiri·S. Pramod·P. Shankar·A. K. Vijayarajan
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Abstract

In this article, we introduce the notions of weak boundary repre- sentation, quasi hyperrigidity and weak peak points in the non-commutative setting for operator systems in C* algebras. An analogue of Saskin theorem relating quasi hyperrigidity and weak Choquet boundary for particular classes of C* algebras is proved. We also show that, if an irreducible representation is a weak boundary representation and weak peak then it is a boundary repre- sentation. Several examples are provided to illustrate these notions. It is also observed that isometries on Hilbert spaces play an important role in the study of certain operator systems.

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BibTeXRIS

M. N. N. Namboodiri, S. Pramod, P. Shankar, A. K. Vijayarajan. 2016-10-07. Quasi Hyperrigidity and Weak Peak Points for Non-Commutative Operator Systems. https://arxiv.org/abs/1610.02165

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