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arXiv · 1509.08832

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

Marius Junge·Bogdan Udrea
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Abstract

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 $q$.

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Marius Junge, Bogdan Udrea. 2015-09-29. Generalized $q$-Gaussian von Neumann algebras with coefficients, III. Unique prime factorization results. https://arxiv.org/abs/1509.08832

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