{
  "abstract": "We construct two explicit countable discrete groups $Γ_1$ and $Γ_2$ that are both ICC and have Kazhdan's property (T). Although $Γ_1$ and $Γ_2$ are not isomorphic as groups, their group von Neumann algebras are isomorphic: $L(Γ_1)\\cong L(Γ_2)$. This provides a counterexample to Connes' rigidity conjecture for ICC property (T) groups. This result was obtained with assistance from GPT-5.6 Sol, independently of and concurrently with work by OpenAI.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.02327",
  "author_total": 1,
  "authors": [
    {
      "name": "Shuoxing Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5rtwtyyjejhg9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.02327",
  "fulltext_url": null,
  "id": "5rtwtyyjejhg9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.02327",
  "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.DS"
    ],
    [
      "arxiv",
      "math.GR"
    ],
    [
      "arxiv",
      "math.OA"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7172379511",
  "pdf_url": "https://arxiv.org/pdf/2608.02327",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5rtwtyyjejhg9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:18Z",
      "native_id": "2608.02327",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.02327"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "ICC property (T) groups without W$^*$-superrigidity",
  "title_text": "ICC property (T) groups without W^*-superrigidity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:18Z",
  "url": "https://research.draconitic.com/paper/5rtwtyyjejhg9",
  "venue": "arXiv",
  "versions": []
}