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arXiv · 2611.05064

Factoriality of Mixed $q$-Gaussian Algebras at the Boundary

Hang Yang
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Abstract

We determine the center and characterize factoriality for mixed $q$-Gaussian von Neumann algebras associated with real symmetric matrices $Q=(q_{ij})_{i,j\in I}$ satisfying $|q_{ij}|\le1$. We prove that every central element is supported on the singleton components of the strict graph of $Q$ and on its two-vertex components $\{a,b\}$ with $q_{aa}=q_{bb}=-1$ in terms of the graph-theoretic language. We also determine the spectral laws of some central elements.

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Hang Yang. 2026-11-03. Factoriality of Mixed $q$-Gaussian Algebras at the Boundary. https://arxiv.org/abs/2611.05064

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