On $C^*$-algebras Associated to Certain Endomorphisms of Discrete Groups

Ilan Hirshberg

On $C^*$-algebras Associated to Certain Endomorphisms of Discrete Groups

Operator Algebras 2007-05-23 v1

Authors: Ilan Hirshberg

Abstract

Let \alpha:G --> G be an endomorphism of a discrete amenable group such that [G:\alpha(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.

Keywords

c*-algebras endomorphisms discrete amenable groups convolution operators left regular representation

Cite

@article{arxiv.math/0112292,
  title  = {On $C^*$-algebras Associated to Certain Endomorphisms of Discrete Groups},
  author = {Ilan Hirshberg},
  journal= {arXiv preprint arXiv:math/0112292},
  year   = {2007}
}

Comments

11 pages

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