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

Alexandre Nou (1, 2)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
2 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)

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.

Mots clés: QWEP; deformation; matricial models; Gaussian; ultraproduct

Domaines: Algèbres d'opérateurs [math.OA]

Alexandre Nou. Asymptotic matricial models and QWEP property for q-Araki-Woods von Neumann algebras. Journal of Functional Analysis, 2006, 232 (2), pp.295-327. ⟨hal-00077608⟩