{
  "abstract": "Given a monoid that can be embedded in a group and that acts partially on a set, we show that under certain conditions the category associated with the partial action has a groupoid of fractions. By imposing some topological conditions on the action, we show that the groupoid is actually étale. This étale groupoid arises naturally in $C^{\\ast}$-algebra theory.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.34813",
  "author_total": 1,
  "authors": [
    {
      "name": "Mark V. Lawson"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bdgmncptn12zh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.34813",
  "fulltext_url": null,
  "id": "bdgmncptn12zh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.34813",
  "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.CT"
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      "openalex",
      "2610|Advanced Operator Algebra Research"
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  ],
  "openalex": "W7214784954",
  "pdf_url": "https://arxiv.org/pdf/2609.34813",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bdgmncptn12zh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.34813",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.34813"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Some étale groupoids as groupoids of fractions",
  "title_text": "Some étale groupoids as groupoids of fractions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/bdgmncptn12zh",
  "venue": "arXiv",
  "versions": []
}