A generalised uniqueness theorem and the graded ideal structure of steinberg algebras

dc.contributor.author	Clark, Lisa Orloff
dc.contributor.author	Exel, Ruy
dc.contributor.author	Pardo Espino, Enrique
dc.contributor.other	Matemáticas	en_US
dc.date.accessioned	2016-09-14T06:47:07Z
dc.date.available	2016-09-14T06:47:07Z
dc.date.issued	2016-09-12
dc.identifier.uri	http://hdl.handle.net/10498/18583
dc.description.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.	en_US
dc.description.sponsorship	DGI-MINECO grant MTM2014-53644-P (Spain).	en_US
dc.format	application/pdf	en_US
dc.language.iso	eng	en_US
dc.publisher	arXiv.org	en_US
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights	info:eu-repo/semantics/openAccess
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Groupoid C*-algebra	en_US
dc.subject	Steinberg algebra	en_US
dc.subject	Graded ideal	en_US
dc.subject	Self-similar graph	en_US
dc.subject	Boolean dynamical system	en_US
dc.title	A generalised uniqueness theorem and the graded ideal structure of steinberg algebras	en_US
dc.type	journal article	en_US
dc.rights.accessRights	open access	en_US
dc.identifier.doi	10.1515/forum-2016-0197

This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional