{
  "abstract": "We show that the Hao-Ng isomorphism for full crossed products fails to hold. More precisely, for a non-degenerate $C^*$-correspondence $X$ over a $C^*$-algebra $\\mathcal{A}$ and a generalized gauge action $G \\curvearrowright X$ by a locally compact group $G$, we isolate three structural obstructions for the canonical commutation $\\mathcal{O}_X\\rtimes G \\cong \\mathcal{O}_{X\\rtimes G}$ between full crossed product and Cuntz-Pimsner $C^*$-algebra. The first concerns hyperrigidity, the second concerns WEP of the coefficient $C^*$-algebra $\\mathcal{A}$ for trivial actions, and the third concerns the coincidence of full and reduced crossed products by the action of $G$ on $\\mathcal{A}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.31050",
  "author_total": 2,
  "authors": [
    {
      "name": "Adam Dor-On"
    },
    {
      "name": "Ian Thompson"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5mgd1re3jw10a.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.31050",
  "fulltext_url": null,
  "id": "5mgd1re3jw10a",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.31050",
  "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.FA"
    ],
    [
      "arxiv",
      "math.OA"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7204883984",
  "pdf_url": "https://arxiv.org/pdf/2608.31050",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5mgd1re3jw10a.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2608.31050",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.31050"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Obstructions to the full Hao-Ng isomorphism",
  "title_text": "Obstructions to the full Hao-Ng isomorphism",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/5mgd1re3jw10a",
  "venue": "arXiv",
  "versions": []
}