{
  "abstract": "Let $G$ be a compact group and let $H \\subseteq G$ be a closed subgroup. We study reduction of the structure group for noncommutative principal bundles, modelled by free C${}^*$-dynamical systems in the sense of Ellwood. We first describe how induction from $H$ to $G$ behaves on associated correspondences and their tensor structure. Using reconstruction, this leads to a Tannakian characterization of reduction of the structure group in terms of the associated tensor functor. For normal subgroups, we characterize reduction in terms of central equivariant homomorphisms and derive module- and $K$-theoretic obstructions. We conclude with a noncommutative $O(n)$-example which admits no reduction to $SO(n)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26590",
  "author_total": 1,
  "authors": [
    {
      "name": "Stefan Wagner"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9gmpzw5nyez5h.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26590",
  "fulltext_url": null,
  "id": "9gmpzw5nyez5h",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26590",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "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-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.OA"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7223027479",
  "pdf_url": "https://arxiv.org/pdf/2610.26590",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9gmpzw5nyez5h.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.26590",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26590"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Reduction of structure groups for noncommutative principal bundles",
  "title_text": "Reduction of structure groups for noncommutative principal bundles",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/9gmpzw5nyez5h",
  "venue": "arXiv",
  "versions": []
}