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

Using the Speicher central limit theorem we provide Hiai’s q-Araki–Woods von Neumann algebras with good 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. © 2005 Elsevier Inc. All rights reserved.