{
  "abstract": "$\\mathrm{Lei}$, $\\mathrm{M\\ddot{u}ller}$, and $\\mathrm{Valli\\grave{e}res}$ constructed a directed graph for which the torsion part of the corresponding Bowen--Franks group is related to the minus part of the class group of a cyclotomic number field with prime conductor. We extend this result to a general imaginary abelian field.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.27481",
  "author_total": 1,
  "authors": [
    {
      "name": "Takuya Murakami"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4d1x160f6av35.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27481",
  "fulltext_url": null,
  "id": "4d1x160f6av35",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.27481",
  "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.CO"
    ],
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7223126376",
  "pdf_url": "https://arxiv.org/pdf/2610.27481",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4d1x160f6av35.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:08Z",
      "native_id": "2610.27481",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27481"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Bowen--Franks groups and minus class groups of imaginary abelian fields",
  "title_text": "Bowen--Franks groups and minus class groups of imaginary abelian fields",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:08Z",
  "url": "https://research.draconitic.com/paper/4d1x160f6av35",
  "venue": "arXiv",
  "versions": []
}