{
  "id": "math/0101184",
  "version": "v2",
  "published": "2001-01-23T01:20:29.000Z",
  "updated": "2001-12-20T23:51:44.000Z",
  "title": "Fredholm modules over certain group C*-algebras",
  "authors": [
    "Tom Hadfield"
  ],
  "comment": "17 pages, AMSLaTeX, use package diagrams",
  "journal": "Journal of Operator Theory, 51, no. 1, 141-160 (2004)",
  "categories": [
    "math.OA",
    "math.KT"
  ],
  "abstract": "Motivated by the search for new examples of \"noncommutative manifolds\", we study the noncommutative geometry of the group C*-algebras of various discrete groups. The examples we consier are the infinite dihedral group ${\\bf Z} \\times_{\\sigma} {\\bf Z}_2$ and the semidirect product ${\\bf Z} \\times_{\\sigma} {\\bf Z}$. We present a unified treatment of the K-homology and cyclic cohomology of these algebras.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-12-20T23:51:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58B34",
      "19K33"
    ],
    "keywords": [
      "fredholm modules",
      "infinite dihedral group",
      "discrete groups",
      "semidirect product",
      "cyclic cohomology"
    ],
    "tags": [
      "research tool",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......1184H"
    }
  }
}