%0 Journal Article %A Exel, Ruy %A Pardo Espino, Enrique %A Starling, Charles %T C*-algebras of self-similar graphs over arbitrary graphs %D 2018 %U http://hdl.handle.net/10498/20636 %X 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. %K Self-similar graph %K inverse semigroup %K tight representation %K tight groupoid %K groupoid C*-algebra %~ Universidad de Cádiz