• Title of article

    Sofic groups and direct finiteness

  • Author/Authors

    G?bor Elek، نويسنده , , Endre Szab?، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2004
  • Pages
    9
  • From page
    426
  • To page
    434
  • Abstract
    We construct an analogue of von Neumannʹs affiliated algebras for sofic group algebras over arbitrary fields. Consequently, we settle Kaplanskyʹs direct finiteness conjecture for sofic groups.
  • Keywords
    Sofic groups , Direct finiteness , Continuous von Neumann regular rings , Group algebras
  • Journal title
    Journal of Algebra
  • Serial Year
    2004
  • Journal title
    Journal of Algebra
  • Record number

    696867