{
  "abstract": "We prove that the relative commutant of a finite unitary tuple in a tracial matrix ultraproduct is internal whenever its conjugation operator has a spectral gap off the commutant. This implies the existence of a non-hyperlinear group.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.37761",
  "author_total": 3,
  "authors": [
    {
      "name": "Vadim Alekseev"
    },
    {
      "name": "Jihao Liu"
    },
    {
      "name": "Andreas Thom"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a8e4mfn3hnqdm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.37761",
  "fulltext_url": null,
  "id": "a8e4mfn3hnqdm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.37761",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GR"
    ],
    [
      "arxiv",
      "math.OA"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7214981113",
  "pdf_url": "https://arxiv.org/pdf/2609.37761",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a8e4mfn3hnqdm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:43Z",
      "native_id": "2609.37761",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.37761"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Spectral gap, internality of relative commutants, and non-hyperlinear groups",
  "title_text": "Spectral gap, internality of relative commutants, and non-hyperlinear groups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:43Z",
  "url": "https://research.draconitic.com/paper/a8e4mfn3hnqdm",
  "venue": "arXiv",
  "versions": []
}