Generalized $q$-Gaussian von Neumann algebras with coefficients, III. Unique prime factorization results

Bogdan Udrea; Marius Junge

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Generalized q-Gaussian von Neumann algebras with coefficients, III. Unique prime factorization results

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arxiv 1509.08832 v1 pith:JOC2VWQM submitted 2015-09-29 math.OA

Generalized q-Gaussian von Neumann algebras with coefficients, III. Unique prime factorization results

Marius Junge , Bogdan Udrea This is my paper

classification math.OA

keywords factorizationprimeresultsuniquealgebrasarisingcoefficientsconstant

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We prove some unique prime factorization results for tensor products of type $II_1$ factors of the form $\Gamma_q(\mathbb{C}, S \otimes H)$ arising from symmetric independent copies with sub-exponential dimensions of the spaces $D_k(S)$ and dim$(H)$ finite and greater than a constant depending on $q$.

Generalized q-Gaussian von Neumann algebras with coefficients, III. Unique prime factorization results

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