Model theory and the QWEP conjecture

preprint2015arXivOpen access

Abstract

We observe that Kirchberg's QWEP conjecture is equivalent to the statement that C∗(F)C^*(\mathbb{F}) is elementarily equivalent to a QWEP C∗^* algebra. We also make a few other model-theoretic remarks about WEP and LLP C∗^* algebras.

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