C*-algebras of self-similar graphs over arbitrary graphs
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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.
SubjectsSelf-similar graph; inverse semigroup; tight representation; tight groupoid; groupoid C*-algebra
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