Self-similar graphs, a unified treatment of Katsura and Nekrashevych C*-algebras

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URI: http://hdl.handle.net/10498/16637

DOI: 10.1016/j.aim.2016.10.030

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Author/s
Exel, Ruy; Pardo Espino, EnriqueAuthority UCA
Date
2014-09-03
Department
Matemáticas
Abstract
We study a family of C*-algebras generalizing both Katsura algebras and certain algebras introduced by Nekrashevych in terms of self-similar groups. For these new algebras, we obtain pictures as Cuntz-Pimsner algebras, as well as groupoid C*-algebras. We apply these pictures to characterize simplicity for these algebras, among others.
Subjects
Kirchberg algebra; Katsura algebra; Nekrashevych algebra; tight representation; inverse semigroup; groupoid; groupoid C*-algebra
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Attribution-NonCommercial-NoDerivatives 4.0 International
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 International