{
  "abstract": "In this paper, we prove that every separable unital AT algebra of real rank zero has complexity rank at most one. In particular, every irrational rotation algebra has complexity rank one. This answers a question of Jaime and Willett.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.09809",
  "author_total": 3,
  "authors": [
    {
      "name": "Qingnan An"
    },
    {
      "name": "Kang Li"
    },
    {
      "name": "Zhichao Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bdnsqz0th0jzm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.09809",
  "fulltext_url": null,
  "id": "bdnsqz0th0jzm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.09809",
  "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"
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  ],
  "openalex": "W7221061773",
  "pdf_url": "https://arxiv.org/pdf/2610.09809",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bdnsqz0th0jzm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:42Z",
      "native_id": "2610.09809",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.09809"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Complexity Rank of AT Algebras of Real Rank Zero",
  "title_text": "Complexity Rank of AT Algebras of Real Rank Zero",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/bdnsqz0th0jzm",
  "venue": "arXiv",
  "versions": []
}