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arxiv: math/0311413 · v2 · submitted 2003-11-24 · 🧮 math.FA · math.OA

Factoriality of q-Gaussian von Neumann algebras

Eric Ricard This is my paper
classification 🧮 math.FA math.OA
keywords algebrasneumannelementsfactorialityfactorsgaussiangeneratedprove
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We prove that the von Neumann algebras generated by $n$ $q$-Gaussian elements, are factors for $n\ge 2$.

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  1. The von Neumann algebraic quantum group $\mathrm{SU}_q(1,1)\rtimes \mathbb{Z}_2$ and the DSSYK model

    math-ph 2025-12 unverdicted novelty 8.0

    The DSSYK model emerges as the dynamics on the quantum homogeneous space of the von Neumann algebraic quantum group SU_q(1,1) ⋊ Z2.