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math.OA2006
Asymptotic matricial models and QWEP property for q-Araki-Woods von Neumann algebras
Alexandre Nou
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 ultraprod…
math.OA2006★ 69 cited
Non injectivity of the q-deformed von Neumann algebra
Alexandre Nou
We prove that the von Neumann algebra generated by q-gaussians is not injective as soon as the dimension of the underlying Hilbert space is greater than 1. Our approach is based on…