C*-algebras of self-similar graphs over arbitrary graphs

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URI: http://hdl.handle.net/10498/20636

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Author/s
Exel, Ruy; Pardo Espino, EnriqueAuthority UCA; Starling, Charles
Date
2018-07-05
Department
Matemáticas
Abstract
In this note we extend the construction of a C*-algebra associated to a self- similar graph to the case of arbitrary countable graphs. We reduce the problem to the row-finite case with no sources, by using a desingularization process. Finally, we characterize simplicity in this case.
Subjects
Self-similar graph; inverse semigroup; tight representation; tight groupoid; groupoid C*-algebra
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional