{
  "id": "math/0108139",
  "version": "v1",
  "published": "2001-08-21T13:00:44.000Z",
  "updated": "2001-08-21T13:00:44.000Z",
  "title": "On the Isomorphism Conjecture in algebraic K-theory",
  "authors": [
    "Arthur Bartels",
    "Tom Farrell",
    "Lowell Jones",
    "Holger Reich"
  ],
  "comment": "64 pages",
  "categories": [
    "math.AT",
    "math.GT",
    "math.KT"
  ],
  "abstract": "The Isomorphism Conjecture is a conceptional approach towards a calculation of the algebraic K-theory of a group ring RG, where G is an infinite group. In this paper we prove the conjecture in dimensions n<2 for fundamental groups of closed Riemannian manifolds with strictly negative sectional curvature and an arbitrary coefficient ring R. If R is regular this leads to a concrete calculation of low dimensional K-theory groups of RG in terms of the K-theory of R and the homology of the group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-08-21T13:00:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "19A31",
      "19B28",
      "19D35",
      "19D50"
    ],
    "keywords": [
      "algebraic k-theory",
      "isomorphism conjecture",
      "low dimensional k-theory groups",
      "infinite group",
      "fundamental groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 64,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......8139B"
    }
  }
}