{
  "abstract": "Given a finite group G, we develop a generalization of the fundamental classification of Rokhlin G-actions on C*-algebras to the setting of anomalous G-actions with the Rokhlin property. For Rokhlin G-kernels on C*-algebras covered by the classification program, this implies that the induced G-action on some known invariants determines the conjugacy class. Extending a result of Izumi, we show that G-kernels with the Rokhlin property on Kirchberg algebras are classified by their anomaly and the induced module structure on the K-theory groups. We explore K-theoretic obstructions for the existence of Rokhlin G-kernels on general separable C*-algebras and use these to characterise which G-module structures arise as K-groups of Kirchberg algebras admitting a Rokhlin G-kernel with a given lifting obstruction.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.09517",
  "author_total": 2,
  "authors": [
    {
      "name": "Sergio Girón Pacheco"
    },
    {
      "name": "Gábor Szabó"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ctdpfw2d0axs2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.09517",
  "fulltext_url": null,
  "id": "ctdpfw2d0axs2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.09517",
  "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.OA"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7202206211",
  "pdf_url": "https://arxiv.org/pdf/2608.09517",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ctdpfw2d0axs2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2608.09517",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.09517"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Classification of anomalous actions of finite groups with the Rokhlin property",
  "title_text": "Classification of anomalous actions of finite groups with the Rokhlin property",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/ctdpfw2d0axs2",
  "venue": "arXiv",
  "versions": []
}