{
  "id": "math/0312046",
  "version": "v1",
  "published": "2003-12-02T03:49:13.000Z",
  "updated": "2003-12-02T03:49:13.000Z",
  "title": "Continuous Control and the Algebraic L-theory Assembly Map",
  "authors": [
    "David Rosenthal"
  ],
  "comment": "15 pages",
  "journal": "Forum Math. 18 (2006), no. 2, 193--209",
  "categories": [
    "math.AT",
    "math.KT"
  ],
  "abstract": "In this work, the assembly map in L-theory for the family of finite subgroups is proven to be a split injection for a class of groups. Groups in this class, including virtually polycyclic groups, have universal spaces that satisfy certain geometric conditions. The proof follows the method developed by Carlsson-Pedersen to split the assembly map in the case of torsion free groups. Here, the continuously controlled techniques and results are extended to handle groups with torsion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-02T03:49:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18F25"
    ],
    "keywords": [
      "algebraic l-theory assembly map",
      "continuous control",
      "torsion free groups",
      "virtually polycyclic groups",
      "finite subgroups"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12046R"
    }
  }
}