Characterisations of the weak expectation property

By Douglas R. Farenick, A. Kavruk, Vern I. Paulsen, Ivan G. Todorov. 2013

59 citations recorded by the source corpus.

We use representations of operator systems as quotients to deduce various characterisations of the weak expectation property (WEP) for C?*-algebras. By Kirchberg's work on WEP, these results give new formulations of Connes' embedding problem.

Subfields: Algebra and Number Theory, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1286ee6282782a6dbce49e434cba3cdebdfcd9bb

How researchers see this paper

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In Algebra and Number Theory

1. Ivan G. Todorov
2. Vern I. Paulsen
3. Valerio Capraro
4. Martino Lupini
5. A. Kavruk
6. Douglas R. Farenick
7. Gilles Pisier
8. William Slofstra

In Mathematical Physics

1. Ivan G. Todorov
2. Vern I. Paulsen
3. Valerio Capraro
4. Martino Lupini
5. A. Kavruk
6. Douglas R. Farenick
7. Gilles Pisier
8. William Slofstra

In Statistical and Nonlinear Physics

1. Vern I. Paulsen
2. Ivan G. Todorov
3. Valerio Capraro
4. Martino Lupini
5. A. Kavruk
6. Gilles Pisier
7. Douglas R. Farenick

Citations in the corpus

• QUANTUM CHROMATIC NUMBERS VIA OPERATOR SYSTEMS (2013, background): “By [8], S(n, c) can be identified with the span of the group F (n, c) inside the C*-algebra C(F (n, c)).”
• Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture (2013, background): “Representation-free characterizations of WEP have been recently proven in [45], [72], and [46] leading to new formulations of Connes’ Embedding Problem [46].”