{
  "id": "1010.5635",
  "version": "v2",
  "published": "2010-10-27T10:12:06.000Z",
  "updated": "2011-05-12T09:08:46.000Z",
  "title": "The Segal conjecture for topological Hochschild homology of complex cobordism",
  "authors": [
    "Sverre Lunøe--Nielsen",
    "John Rognes"
  ],
  "comment": "Accepted for publication by the Journal of Topology",
  "doi": "10.1112/jtopol/jtr015",
  "categories": [
    "math.AT"
  ],
  "abstract": "We study the C_p-equivariant Tate construction on the topological Hochschild homology THH(B) of a symmetric ring spectrum B by relating it to a topological version R_+(B) of the Singer construction, extended by a natural circle action. This enables us to prove that the fixed and homotopy fixed point spectra of THH(B) are p-adically equivalent for B = MU and BP. This generalizes the classical C_p-equivariant Segal conjecture, which corresponds to the case B = S.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-05-12T09:08:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P91",
      "55P43",
      "55S10"
    ],
    "keywords": [
      "segal conjecture",
      "complex cobordism",
      "natural circle action",
      "topological hochschild homology thh",
      "homotopy fixed point spectra"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.5635L"
    }
  }
}