{
  "abstract": "Let $Γ$ be a property (T) group admitting an injective, non-surjective endomorphism and let $G$ be the associated ascending HNN-extension. Let $W=\\left(\\bigoplus_{G/Γ} \\mathbb{Z}/2\\mathbb{Z}\\right) \\rtimes G.$ We show that $W$ is not an MF group and that $C^*(G)$ is not a finite C*-algebra. The ideas and proofs were generated by ChatGPT 5.6 Sol, we have only refined their arguments in a hopefully more palatable form.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.28772",
  "author_total": 1,
  "authors": [
    {
      "name": "Caleb Eckhardt"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bex6fhf135tkw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28772",
  "fulltext_url": null,
  "id": "bex6fhf135tkw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.28772",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GR"
    ],
    [
      "arxiv",
      "math.OA"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7204962300",
  "pdf_url": "https://arxiv.org/pdf/2608.28772",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bex6fhf135tkw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.28772",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28772"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Non-MF groups and non-finite full group C*-algebras",
  "title_text": "Non-MF groups and non-finite full group C*-algebras",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/bex6fhf135tkw",
  "venue": "arXiv",
  "versions": []
}