{
  "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.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05064",
  "author_total": 1,
  "authors": [
    {
      "name": "Hang Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bzbdn17dbrdf0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05064",
  "fulltext_url": null,
  "id": "bzbdn17dbrdf0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05064",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.OA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05064",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bzbdn17dbrdf0.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.05064",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05064"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Factoriality of Mixed $q$-Gaussian Algebras at the Boundary",
  "title_text": "Factoriality of Mixed q-Gaussian Algebras at the Boundary",
  "type": "preprint",
  "updated_at": "2026-11-04T15:21:29Z",
  "url": "https://research.draconitic.com/paper/bzbdn17dbrdf0",
  "venue": "arXiv",
  "versions": []
}