Cuntz-pimsner algebras of group actions Academic Article

abstract

• 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.

authors

• Nekrashevych, Volodymyr

published proceedings

• Journal of Operator Theory

author list (cited authors)

• Nekrashevych, V. V.

complete list of authors

• Nekrashevych, VV

publication date

• September 2004

published in

• Journal of Operator Theory  Journal

start page

• 223

end page

• 249

volume

• 52

issue

• 2