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Asymptotic matricial models and QWEP property for q-Araki-Woods von Neumann algebras

Alexandre Nou

math.OAarXiv:math/0605790

Abstract

Using Speicher central limit Theorem we provide Hiai's q-Araki-Woods von Neumann algebras with nice asymptotic matricial models. Then, we use this model and an elaborated ultraproduct procedure, to show that all q-Araki-Woods von Neumann algebras are QWEP.

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