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

Marius Junge; Bogdan Udrea

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

Operator Algebras 2015-09-30 v1

Authors: Marius Junge , Bogdan Udrea

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 $q$ .

Keywords

von Neumann algebras q-Gaussian type II_1 factors tensor products unique prime factorization symmetric independent copies operator algebras

Cite

@article{arxiv.1509.08832,
  title  = {Generalized $q$-Gaussian von Neumann algebras with coefficients, III. Unique prime factorization results},
  author = {Marius Junge and Bogdan Udrea},
  journal= {arXiv preprint arXiv:1509.08832},
  year   = {2015}
}

Comments

5 pages. This is the first version. Any comments or suggestions are welcome!

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

Abstract

Keywords

Cite

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