C*-algebras associated with endomorphisms of groups

Abstract

In this work we construct a C*-algebra from an injective endomorphisms of some group G, allowing the endomorphism to have infinite cokernel. We generalize results obtained by I. Hirshberg and also by J. Cuntz and A. Vershik. In good cases we show that the C*-algebra that we study is classifiable by Kirchberg's classification theorem, with K-groups equal to K*(C*(G)).

24 pages, no figures

Cited by in corpus (3)

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• C*-Algebras of algebraic dynamical systems and right LCM semigroups
• On C*-algebras of irreversible algebraic dynamical systems