@unpublished{10498/16637,
year = {2014},
month = {9},
url = {http://hdl.handle.net/10498/16637},
abstract = {We study a family of C*-algebras generalizing both Katsura algebras and certain algebras introduced by Nekrashevych in terms of self-similar groups. For these new algebras, we obtain pictures as Cuntz-Pimsner algebras, as well as groupoid C*-algebras. We apply these pictures to characterize simplicity for these algebras, among others.},
organization = {The first-named author was partially supported by CNPq. The second-named author was partially supported by PAI III grants FQM-298 and P11-FQM-7156 of the Junta de Andalucía and by the DGI-MICINN and European Regional Development Fund, jointly, through Project MTM2011-28992-C02-02.},
publisher = {arXiv.org},
keywords = {Kirchberg algebra},
keywords = {Katsura algebra},
keywords = {Nekrashevych algebra},
keywords = {tight representation},
keywords = {inverse semigroup},
keywords = {groupoid},
keywords = {groupoid C*-algebra},
title = {Self-similar graphs, a unified treatment of Katsura and Nekrashevych C*-algebras},
doi = {10.1016/j.aim.2016.10.030},
author = {Exel, Ruy and Pardo Espino, Enrique},
}