On a Characterization of the Weak Expectation Property (WEP)

Gilles Pisier

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arXiv · 1907.06224

On a Characterization of the Weak Expectation Property (WEP)

Gilles Pisier

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Abstract

We give a detailed proof of a new characterization of the Weak Expectation Property (WEP) announced by Haagerup in the 1990's but unavailable (in any form) till now. Our main result is motivated by a well known conjecture of Kirchberg, which is equivalent to the Connes embedding problem. We review the basic relevant facts connecting our main theorem with the latter conjecture, along the lines of our forthcoming lecture notes volume on the Connes-Kirchberg problem.

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Gilles Pisier. 2019-07-23. On a Characterization of the Weak Expectation Property (WEP). https://arxiv.org/abs/1907.06224

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