{
  "id": "math/0104240",
  "version": "v1",
  "published": "2001-04-25T15:32:35.000Z",
  "updated": "2001-04-25T15:32:35.000Z",
  "title": "Filtered Topological Cyclic Homology and relative K-theory of nilpotent ideals",
  "authors": [
    "Morten Brun"
  ],
  "comment": "Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-10.abs.html",
  "journal": "Algebr. Geom. Topol. 1 (2001) 201-230",
  "categories": [
    "math.AT"
  ],
  "abstract": "In this paper we examine certain filtrations of topological Hochschild homology and topological cyclic homology. As an example we show how the filtration with respect to a nilpotent ideal gives rise to an analog of a theorem of Goodwillie saying that rationally relative K-theory and relative cyclic homology agree. Our variation says that the p-torsion parts agree in a range of degrees. We use it to compute K_i(Z/p^m) for i < p-2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-04-25T15:32:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19D55",
      "19D50",
      "55P42"
    ],
    "keywords": [
      "filtered topological cyclic homology",
      "nilpotent ideal",
      "relative k-theory",
      "p-torsion parts agree",
      "relative cyclic homology agree"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}