On $C^{\ast }$-algebras Associated to Certain Endomorphisms of Discrete Groups

Abstract

Let α:G --> G be an endomorphism of a discrete amenable group such that [G:α(G)]<infinity. 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.

11 pages

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