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Published: 
May 9, 2002

Keywords: 
endomorphisms, crossed products

Subject: 
46L55

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.

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