Cuntz-pimsner algebras of group actions Academic Article uri icon


  • We associate a *-bimodule over the group algebra to every self-similar group action on the space of one-sided sequences. Completions of the group algebra, which agree with the bimodule are investigated. This gives new examples of Hilbert bimodules and the associated Cuntz-Pimsner algebras. A direct proof of simplicity of these algebras is given. We show also a relation between the Cuntz algebras and the Higman-Thompson groups and define an analog of the Higman-Thompson group for the Cuntz-Pimsner algebra of a self-similar group action. Copyright by THETA, 2004.

published proceedings

  • Journal of Operator Theory

author list (cited authors)

  • Nekrashevych, V. V.

complete list of authors

  • Nekrashevych, VV

publication date

  • September 2004