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

2015/09/29 by Junge, Marius, Udrea, Bogdan
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1509.08832

Abstract

We prove some unique prime factorization results for tensor products of type II₁ factors of the form Γ_q(ℂ, S ⊗ 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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