Korovkin-type properties for completely positive maps

Craig Kleski

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arXiv · 1310.7266

Korovkin-type properties for completely positive maps

Craig Kleski

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Abstract

We prove a noncommutative variant of Saskin's classical theorem -- on the connection between Choquet boundaries for function spaces and Korovkin sets -- for operator systems generating separable Type I C*-algebras. The main result implies an affirmative answer to a weaker version of Arveson's hyperrigidity conjecture for such C*-algebras. It also yields information about the more general version of Arveson's conjecture.

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BibTeX RIS

Craig Kleski. 2015-05-20. Korovkin-type properties for completely positive maps. https://arxiv.org/abs/1310.7266

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