{
  "abstract": "In this short paper, we establish the following Galois-type property for all measure-preserving, weakly compact actions $G \\curvearrowright (X,μ) $ of a non-inner amenable group $G$ on a standard probability space $X$: for any intermediate von Neumann subalgebra $\\mathcal L(G)\\subseteq \\mathcal N \\subseteq L^\\infty (X)\\rtimes G$, there is a factor $G\\curvearrowright Y$ of $G \\curvearrowright X$ such that $\\mathcal N= L^\\infty(Y)\\rtimes G$. In particular, this holds for all pmp distal actions $G\\curvearrowright X$, thereby answering positively an open problem from \\cite{BCCMSW24} (which can also be traced back to \\cite{CD20}). We also provide an example showing our result is optimal.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33320",
  "author_total": 2,
  "authors": [
    {
      "name": "Ionut Chifan"
    },
    {
      "name": "Zachary Flood"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ajw53r94tsyp3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33320",
  "fulltext_url": null,
  "id": "ajw53r94tsyp3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33320",
  "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",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7223926359",
  "pdf_url": "https://arxiv.org/pdf/2610.33320",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ajw53r94tsyp3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.33320",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33320"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Intermediate subalgebras of cross-product von Neumann algebras arising from weakly compact actions",
  "title_text": "Intermediate subalgebras of cross-product von Neumann algebras arising from weakly compact actions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/ajw53r94tsyp3",
  "venue": "arXiv",
  "versions": []
}