The Choquet boundary of an operator system

By K. Davidson, M. Kennedy. 2013

132 citations recorded by the source corpus.

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

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/39f5680d719f3240865515456326408660333a36

How researchers see this paper

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In Applied Mathematics

1. Raphael Clouatre
2. Michael Hartz

In Mathematical Physics

1. Raphael Clouatre
2. Michael Hartz

Citations in the corpus

• Noncommutative Choquet Theory (2019, unknown): “This conjecture was resolved only recently, by Arveson himself [5] in the separable case, and by the authors [16] in complete generality.”
• Multiplier algebras of complete Nevanlinna–Pick spaces: Dilations, boundary representations and hyperrigidity (2016, result): “This was first proved by Arveson [16] in the separable case, and later established in full generality by Davidson and Kennedy [21].”