Characterisations of the weak expectation property

Abstract

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.

28 pages

References in corpus (2)

• The Weak Expectation Property and Riesz Interpolation
• Operator systems from discrete groups

Cited by in corpus (7)

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• Unitary Correlation Sets
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• Quantum chromatic numbers via operator systems
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• Cohomological obstructions to lifting properties for full group C${}^{\ast }$-algebras