{
  "abstract": "Let $p$ be a prime and $n\\geq 1$. We prove that the Tate-Frobenius of the $\\operatorname{K}(n)$-local sphere induces an equivalence between $L_{n-1}L_{\\operatorname{K}(n)}Y$ and $(L_{\\operatorname{K}(n)}Y)^{tΣ_p} \\cong (L_nY)^{tΣ_p}$ for any finite $p$-local type $n-1$ spectrum $Y$ with trivial $Σ_p$-action.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31806",
  "author_total": 1,
  "authors": [
    {
      "name": "Pengkun Huang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2avwxpf2050s3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31806",
  "fulltext_url": null,
  "id": "2avwxpf2050s3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31806",
  "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.AT"
    ],
    [
      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
    ]
  ],
  "openalex": "W7223686129",
  "pdf_url": "https://arxiv.org/pdf/2610.31806",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2avwxpf2050s3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:19Z",
      "native_id": "2610.31806",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31806"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Tate Frobenius and chromatic blueshift of finite spectra",
  "title_text": "Tate Frobenius and chromatic blueshift of finite spectra",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/2avwxpf2050s3",
  "venue": "arXiv",
  "versions": []
}