{
  "id": "1912.03246",
  "version": "v1",
  "published": "2019-12-06T17:36:19.000Z",
  "updated": "2019-12-06T17:36:19.000Z",
  "title": "On the periodic topological cyclic homology of DG categories in characteristic p",
  "authors": [
    "Alexander Petrov",
    "Vadim Vologodsky"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AG",
    "math.KT"
  ],
  "abstract": "We prove that the $p$-adically completed periodic topological cyclic homology of a DG category over a perfect field $k$ of characteristic $p>2$ is isomorphic to the ($p$-adically completed) periodic cyclic homology of a lifting of the DG category over the Witt vectors $W(k)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-06T17:36:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F30",
      "19D55"
    ],
    "keywords": [
      "dg category",
      "characteristic",
      "completed periodic topological cyclic homology",
      "periodic cyclic homology",
      "adically completed periodic topological cyclic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}