dc.contributor.author | Ortega Esparza, Eduardo | |
dc.contributor.author | Nyland, Petter Kjeverud | |
dc.date.accessioned | 2019-04-26T07:17:48Z | |
dc.date.available | 2019-04-26T07:17:48Z | |
dc.date.created | 2019-04-25T09:26:42Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 0129-167X | |
dc.identifier.uri | http://hdl.handle.net/11250/2595588 | |
dc.description.abstract | We study the topological full group of ample groupoids over locally compact spaces. We extend Matui’s definition of the topological full group from the compact to the locally compact case. We provide two general classes of étale groupoids for which the topological full group, as an abstract group, is a complete isomorphism invariant, hereby extending Matui’s Isomorphism Theorem. As an application, we study graph groupoids and their topological full groups, and obtain sharper results for this class. The machinery developed in this process is used to prove an embedding theorem for ample groupoids, akin to Kirchberg’s Embedding Theorem for C∗-algebras. Consequences for graph C∗-algebras and Leavitt path algebras are also spelled out. In particular, we improve on a recent embedding theorem of Brownlowe and Sørensen for Leavitt path algebras. | nb_NO |
dc.language.iso | eng | nb_NO |
dc.publisher | World Scientific | nb_NO |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Topological full groups of ample groupoids with applications to graph algebras | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | publishedVersion | nb_NO |
dc.source.volume | 30 | nb_NO |
dc.source.journal | International Journal of Mathematics | nb_NO |
dc.source.issue | 3 | nb_NO |
dc.identifier.doi | 10.1142/S0129167X19500186 | |
dc.identifier.cristin | 1693792 | |
dc.description.localcode | © The Author(s) This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited. | nb_NO |
cristin.unitcode | 194,63,15,0 | |
cristin.unitname | Institutt for matematiske fag | |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 2 | |