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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