Generalized $q$-Gaussian von Neumann algebras with coefficients, III. Unique prime factorization results
arXiv:1509.08832
Abstract
We prove some unique prime factorization results for tensor products of type $II_1$ factors of the form $Î_q(\mathbb{C}, S \otimes H)$ 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 $q$.
5 pages. This is the first version. Any comments or suggestions are welcome!