@misc{10498/18583,
year = {2016},
month = {9},
url = {http://hdl.handle.net/10498/18583},
abstract = {Given an ample, Hausdorff groupoid G, and a unital commutative ring R, we consider the Steinberg algebra A_R(G). First we prove a uniqueness theorem for this algebra and then, when G is graded by a cocycle, we study graded ideals in A_R(G). Applications are given for two classes of ample groupoids, namely those coming from actions of groups on graphs, and also to groupoids defined in terms of Boolean dynamical systems.},
organization = {DGI-MINECO grant MTM2014-53644-P (Spain).},
publisher = {arXiv.org},
keywords = {Groupoid C*-algebra},
keywords = {Steinberg algebra},
keywords = {Graded ideal},
keywords = {Self-similar graph},
keywords = {Boolean dynamical system},
title = {A generalised uniqueness theorem and the graded ideal structure of steinberg algebras},
doi = {10.1515/forum-2016-0197},
author = {Clark, Lisa Orloff and Exel, Ruy and Pardo Espino, Enrique},
}