{
  "abstract": "We prove that the nuclear dimension of any graph $C^*$-algebra is at most two, and we compute the exact value of the nuclear dimension for a large class of graph $C^*$-algebras. In particular, this class covers all graphs with Condition (K). Our methods --- based on Szabó's recent $KK$-uniqueness theorem --- provide a unified approach to computing the nuclear dimension of various extensions. This includes the nuclear dimension of the Toeplitz algebra (first computed by Brake--Winter) and that of the Cuntz--Toeplitz algebras (first computed by Easo et al).",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03082",
  "author_total": 3,
  "authors": [
    {
      "name": "Samuel Evington"
    },
    {
      "name": "Gregory Faurot"
    },
    {
      "name": "Christopher Schafhauser"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5e7fbvxzwxdr3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03082",
  "fulltext_url": null,
  "id": "5e7fbvxzwxdr3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03082",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03082",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5e7fbvxzwxdr3.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.03082",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03082"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The Nuclear Dimension of Extensions and Graph $C^*$-Algebras",
  "title_text": "The Nuclear Dimension of Extensions and Graph C^*-Algebras",
  "type": "preprint",
  "updated_at": "2026-11-03T12:21:14Z",
  "url": "https://research.draconitic.com/paper/5e7fbvxzwxdr3",
  "venue": "arXiv",
  "versions": []
}