Generalized $q$-Gaussian von Neumann algebras with coefficients, II. Absence of central sequences

Bogdan Udrea; Marius Junge

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Generalized q-Gaussian von Neumann algebras with coefficients, II. Absence of central sequences

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arxiv 1509.07070 v2 pith:DXRHV7PT submitted 2015-09-23 math.OA

Generalized q-Gaussian von Neumann algebras with coefficients, II. Absence of central sequences

Marius Junge , Bogdan Udrea This is my paper

classification math.OA

keywords algebrascentralcoefficientsfinitegaussiangeneralizedneumannsequences

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We show that the generalized $q$-gaussian von Neumann algebras with coefficients $\Gamma_q(B,S \otimes H)$ with $B$ a finite dimensional factor, dim$(D_k(S))$ sub-exponential and the dimension of $H$ finite and larger than a constant depending on $q$, have no non-trivial central sequences.

Generalized q-Gaussian von Neumann algebras with coefficients, II. Absence of central sequences

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