{
  "id": "0707.1899",
  "version": "v2",
  "published": "2007-07-12T22:39:33.000Z",
  "updated": "2007-07-18T03:59:14.000Z",
  "title": "The $\\ell^2$-homology of even Coxeter groups",
  "authors": [
    "Timothy A. Schroeder"
  ],
  "comment": "15 pages, 1 figure",
  "categories": [
    "math.GT",
    "math.AT",
    "math.GR"
  ],
  "abstract": "Given a Coxeter system (W,S), there is an associated CW-complex, Sigma, on which W acts properly and cocompactly. We prove that when the nerve L of (W,S) is a flag triangulation of the 3-sphere, then the reduced $\\ell^2$-homology of Sigma vanishes in all but the middle dimension.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-07-18T03:59:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coxeter groups",
      "coxeter system",
      "flag triangulation",
      "sigma vanishes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.1899S"
    }
  }
}