{
  "abstract": "We compute the Cuntz semigroup of a graph C*-algebra associated to a finite graph by combining Hong and Szymański's realisation of the entire ideal lattice of a graph C*-algebra, Ara, Moreno and Pardo's computation of the Murray-von Neumann semigroup of a unital graph C*-algebra and various Cuntz semigroup techniques. We also investigate certain properties of such Cuntz semigroups, and demonstrate that at the level of the Cuntz semigroup, there is no obstruction to the conjecture that the nuclear dimension of any graph C*-algebra is at most one.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.01915",
  "author_total": 1,
  "authors": [
    {
      "name": "Yao Ming Chan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2kj5ha0nayaqy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.01915",
  "fulltext_url": null,
  "id": "2kj5ha0nayaqy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.01915",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.OA"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7216082078",
  "pdf_url": "https://arxiv.org/pdf/2610.01915",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2kj5ha0nayaqy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:19Z",
      "native_id": "2610.01915",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.01915"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "The Cuntz semigroup of the graph C*-algebra of a finite graph",
  "title_text": "The Cuntz semigroup of the graph C*-algebra of a finite graph",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/2kj5ha0nayaqy",
  "venue": "arXiv",
  "versions": []
}