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

preprint2015arXivOpen access

Abstract

We prove some unique prime factorization results for tensor products of type II1II_1 factors of the form Γq(C,S⊗H)Γ_q(\mathbb{C}, S \otimes H) arising from symmetric independent copies with sub-exponential dimensions of the spaces Dk(S)D_k(S) and dim(H)(H) finite and greater than a constant depending on qq.

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