On C*-algebras associated to certain endomorphisms of discrete groups

Abstract:

Let $\alpha:G \rightarrow G$ be an endomorphism of a discrete amenable group such that $[G:\alpha(G)]<\infty$. We study the structure of the $C^*$ algebra generated by the left convolution operators acting on the left regular representation space, along with the isometry of the space induced by the endomorphism.

Department of Mathematics, University of California at Berkeley, Berkeley, CA 94720,USA
ilan@math.berkeley.edu