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

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

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Title: C*-algebras of self-similar graphs over arbitrary graphs
Author: Exel, Ruy; Pardo, Enrique; Starling, Charles
Departments: 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.
Subject: Self-similar graph ; inverse semigroup ; tight representation ; tight groupoid ; groupoid C*-algebra.
Handle: http://hdl.handle.net/10498/20636
Date: 2018-07-05

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