English

The Choquet boundary of an operator system

Operator Algebras 2016-02-10 v2 Functional Analysis

Abstract

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

Keywords

Cite

@article{arxiv.1303.3252,
  title  = {The Choquet boundary of an operator system},
  author = {Kenneth R. Davidson and Matthew Kennedy},
  journal= {arXiv preprint arXiv:1303.3252},
  year   = {2016}
}

Comments

15 pages; simplified proof of key lemma, added new short proof of sufficiency of boundary representations