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

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

2006-05-31

arxiv.org/abs/math/0605790v1

Journal of Functional Analysis 232 (2) (2006) 295-327

Mathematics

Operator Algebras

Scientific paper

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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