@misc{10498/20636, year = {2018}, month = {7}, url = {http://hdl.handle.net/10498/20636}, 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.}, organization = {The first-named author was partially supported by CNPq. The third named author was partially supported by PAI III grant FQM-298 of the Junta de AndalucĂ­a, and by the DGI-MINECO and European Regional Development Fund, jointly, through grants MTM2014-53644-P and MTM2017-83487-P. The third named author was partially supported by a Carleton University internal research grant.}, publisher = {arXiv}, keywords = {Self-similar graph}, keywords = {inverse semigroup}, keywords = {tight representation}, keywords = {tight groupoid}, keywords = {groupoid C*-algebra}, title = {C*-algebras of self-similar graphs over arbitrary graphs}, author = {Exel, Ruy and Pardo Espino, Enrique and Starling, Charles}, }