{
  "id": "math/0201094",
  "version": "v1",
  "published": "2002-01-10T23:15:45.000Z",
  "updated": "2002-01-10T23:15:45.000Z",
  "title": "K-homology of certain group C*-algebras",
  "authors": [
    "Tom Hadfield"
  ],
  "comment": "17 pages, AMS Latex, uses package Diagrams",
  "categories": [
    "math.OA",
    "math.KT"
  ],
  "abstract": "Motivated by the search for new examples of ``noncommutative manifolds'', we study the noncommutative geometry (in the sense of Connes) of the group C*-algebras of various discrete groups. The examples we consider are the infinite dihedral group Z \\times_{\\sigma} $Z_2$ and the semidirect product group $Z \\times_{\\sigma} Z$. We present a unified treatment of the K-homology and cyclic cohomology of these algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-01-10T23:15:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58B34",
      "19K33"
    ],
    "keywords": [
      "k-homology",
      "semidirect product group",
      "infinite dihedral group",
      "cyclic cohomology",
      "discrete groups"
    ],
    "tags": [
      "research tool"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......1094H"
    }
  }
}