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

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2018-07-05Department
MatemáticasAbstract
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.
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Self-similar graph; inverse semigroup; tight representation; tight groupoid; groupoid C*-algebraCollections
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