RT journal article
T1 A generalised uniqueness theorem and the graded ideal structure of steinberg algebras
A1 Clark, Lisa Orloff
A1 Exel, Ruy
A1 Pardo Espino, Enrique
A2 Matemáticas
K1 Groupoid C*-algebra
K1 Steinberg algebra
K1 Graded ideal
K1 Self-similar graph
K1 Boolean dynamical system
AB 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.
PB arXiv.org
YR 2016
FD 2016-09-12
LK http://hdl.handle.net/10498/18583
UL http://hdl.handle.net/10498/18583
LA eng
NO DGI-MINECO grant MTM2014-53644-P (Spain).
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026