{
  "abstract": "Using the duality between the categories of inverse semigroups and ample groupoids, we prove the triviality (global and local) of the central term of the extension in terms of twisted crossed products.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.32294",
  "author_total": 4,
  "authors": [
    {
      "name": "Nathan Brownlowe"
    },
    {
      "name": "Lisa Orloff Clark"
    },
    {
      "name": "Enrique Pardo"
    },
    {
      "name": "Aidan Sims"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0sq1xwysxep7q.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.32294",
  "fulltext_url": null,
  "id": "0sq1xwysxep7q",
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  "landing_url": "https://arxiv.org/abs/2609.32294",
  "language": null,
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  "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.RA"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7214737379",
  "pdf_url": "https://arxiv.org/pdf/2609.32294",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0sq1xwysxep7q.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.32294",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.32294"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Global and local triviality for extensions of ample groupoids: an algebraic approach",
  "title_text": "Global and local triviality for extensions of ample groupoids: an algebraic approach",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/0sq1xwysxep7q",
  "venue": "arXiv",
  "versions": []
}