%0 Journal Article 
%A Clark, Lisa Orloff
%A Exel, Ruy
%A Pardo Espino, Enrique
%T A generalised uniqueness theorem and the graded ideal structure of steinberg algebras
%D 2016
%U http://hdl.handle.net/10498/18583
%X 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.
%K Groupoid C*-algebra
%K Steinberg algebra
%K Graded ideal
%K Self-similar graph
%K Boolean dynamical system
%~ Universidad de Cádiz