{
  "abstract": "Let $G$ be a finitely generated virtually abelian group and $[σ]\\in H^2(G;\\mathbb{T})$ such that $σ(x,y)$ is always a root of unity. We show that the nuclear dimension of the twisted group $C^*$-algebra $C^*(G,σ)$ is equal to the rank of a finite index abelian subgroup of $G$. We also show that $\\mbox{dim}_{\\text{nuc}}(C^*(\\mathbb{Z}^r,σ))=r$ if and only if $σ$ is type I.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.27936",
  "author_total": 3,
  "authors": [
    {
      "name": "Forrest Glebe"
    },
    {
      "name": "Pradyut Karmakar"
    },
    {
      "name": "Iason Moutzouris"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5xgzktjfb4wmd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.27936",
  "fulltext_url": null,
  "id": "5xgzktjfb4wmd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.27936",
  "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.GR"
    ],
    [
      "arxiv",
      "math.OA"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7162655311",
  "pdf_url": "https://arxiv.org/pdf/2605.27936",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5xgzktjfb4wmd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:11Z",
      "native_id": "2605.27936",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.27936"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Nuclear Dimension of Twisted $C^*$-Algebras of Virtually Abelian Groups",
  "title_text": "Nuclear Dimension of Twisted C^*-Algebras of Virtually Abelian Groups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:11Z",
  "url": "https://research.draconitic.com/paper/5xgzktjfb4wmd",
  "venue": "arXiv",
  "versions": []
}