{
  "abstract": "Let $Γ$ be a countable discrete group and let $A$ be a unital $Γ$-simple $Γ$-$C^*$-algebra. We prove that $A\\rtimes_rΓ$ has the generalized Powers averaging property if and only if the canonical map $A\\rtimes_rΓ\\to I_Γ(A)$ is the unique $Γ$-equivariant pseudo-expectation. We also show that this averaging property lifts to $I_Γ(A)\\rtimes_rΓ$, with the averaging coefficients still belonging to $A$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.35567",
  "author_total": 3,
  "authors": [
    {
      "name": "Tattwamasi Amrutam"
    },
    {
      "name": "Fatemeh Khosravi"
    },
    {
      "name": "Zahra Naghavi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3naf7sjbbyzk5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.35567",
  "fulltext_url": null,
  "id": "3naf7sjbbyzk5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.35567",
  "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.DS"
    ],
    [
      "arxiv",
      "math.GR"
    ],
    [
      "arxiv",
      "math.OA"
    ],
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7214787672",
  "pdf_url": "https://arxiv.org/pdf/2609.35567",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3naf7sjbbyzk5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:20Z",
      "native_id": "2609.35567",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.35567"
    }
  ],
  "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": "Unique equivariant pseudo expectation and generalized Powers averaging for crossed product",
  "title_text": "Unique equivariant pseudo expectation and generalized Powers averaging for crossed product",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:20Z",
  "url": "https://research.draconitic.com/paper/3naf7sjbbyzk5",
  "venue": "arXiv",
  "versions": []
}