The Choquet boundary of an operator system

Kenneth R. Davidson; Matthew Kennedy

doi:10.1215/00127094-3165004

Abstract

We show that every operator system (and hence every unital operator algebra) has sufficiently many boundary representations to generate the C∗-envelope.

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Kenneth R. Davidson. Matthew Kennedy. "The Choquet boundary of an operator system." Duke Math. J. 164 (15) 2989 - 3004, 1 December 2015. https://doi.org/10.1215/00127094-3165004

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Received: 16 May 2014; Revised: 15 December 2014; Published: 1 December 2015

First available in Project Euclid: 1 December 2015

zbMATH: 1344.46041

MathSciNet: MR3430455

Digital Object Identifier: 10.1215/00127094-3165004

Subjects:

Primary: 46L07

Secondary: 46L52 , 47A20 , 47L55

Keywords: boundary representation , Choquet boundary , completely positive maps , dilations , operator system , unique extension property

Abstract

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