{
  "abstract": "Given a discrete group $Γ$ acting on a compact space $X$, and a stabilizer subgroup $Λ\\leq Γ$ of $X$, we use the Rieffel induction of covariant $(Λ, X)$-representations to study classes of representations induced by certain characters on $Λ$ and the $\\text{C}^*$-algebras they generate. When $X$ is a $Γ$-boundary, we obtain new classes of simple, traceless group $\\text{C}^*$-algebras. When the $Γ$-boundary $X$ is an extreme boundary, we show that the associated group $\\text{C}^*$-algebras are also purely infinite, answering part of a question posed by Kalantar and Scarparo on $\\text{C}^*$-algebras associated with Thompson's groups. The latter $\\text{C}^*$-algebras are shown to be selfless in the sense of Robert.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.30127",
  "author_total": 2,
  "authors": [
    {
      "name": "Felipe Flores"
    },
    {
      "name": "Joseph Gondek"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ahxz9dtjp37xj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.30127",
  "fulltext_url": null,
  "id": "ahxz9dtjp37xj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.30127",
  "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.DS"
    ],
    [
      "arxiv",
      "math.GR"
    ],
    [
      "arxiv",
      "math.OA"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7204879791",
  "pdf_url": "https://arxiv.org/pdf/2608.30127",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ahxz9dtjp37xj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.30127",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.30127"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Simplicity and pure infiniteness for $\\text{C}^*$-algebras associated with stabilizers of boundary actions",
  "title_text": "Simplicity and pure infiniteness for C^*-algebras associated with stabilizers of boundary actions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/ahxz9dtjp37xj",
  "venue": "arXiv",
  "versions": []
}