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

@article{Junge2015GeneralizedV,
title={Generalized \$q\$-Gaussian von Neumann algebras with coefficients, III. Unique prime factorization results},
author={Marius Junge and Bogdan Udrea},
journal={arXiv: Operator Algebras},
year={2015}
}
• Published 2015
• Mathematics
• arXiv: Operator Algebras
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 $q$.
1 Citations
Classification of Tensor Decompositions of II$_1$ Factors Associated With Poly-Hyperbolic Groups
• Mathematics
• 2018
We demonstrate von Neumann algebra arising from an icc group $\Gamma$ in Chifan's, Ioana's, and Kida's class of poly-$\mathcal{C}_\text{rss}$, such as a poly-hyperbolic group with no amenableExpand

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