Journal of Operator Theory

Volume 79, Issue 1, Winter 2018 pp. 3-31.

$C^*$-algebras associated with endomorphisms of groups

Authors: Felipe Vieira
Author institution: Departamento de Matematica, Universidade Federal de Santa Catarina, Blumenau, 89036256, Brazil

Summary: In this work we construct a $C^*$-algebra from an injective endomorphism of a discrete group $G$ allowing the endomorphism to have infinite cokernel. We generalize some results obtained by I. Hirshberg and by J. Cuntz together with A. Vershik. For certain cases of the above construction, we show that Kirchberg's classification theorem can be applied.

DOI: http://dx.doi.org/10.7900/jot.2015nov27.2164
Keywords: group, endomorphism, semigroup $C^*$-algebra, K-theory, crossed product

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