Topological full groups of ultragraph groupoids as an isomorphism invariant

We prove two isomorphism-invariance theorems for groupoids associated with ultragraphs. These theorems characterize ultragraphs for which the topological full group of an associated groupoid is an isomorphism invariant. These results extend those of graph groupoids to ultragraph groupoids while prov...

Authors: Castro, Gilles Gonçalves de
Gonçalves, Daniel
van Wyk, Daniel W.
Document types:Article
Media types:Text
Publication date:2021
Date of publication on miami:16.02.2021
Modification date:16.02.2021
Source:Münster Journal of Mathematics, 14 (2021), S. 165-189
Publisher: Mathematisches Institut (Universität Münster)
Edition statement:[Electronic ed.]
DDC Subject:510: Mathematik
License:InC 1.0
Language:English
Format:PDF document
URN:urn:nbn:de:hbz:6-59019521069
Other Identifiers:DOI: 10.17879/59019520638
Permalink:https://nbn-resolving.de/urn:nbn:de:hbz:6-59019521069
Digital documents:mjm_2021_14_165-189.pdf

We prove two isomorphism-invariance theorems for groupoids associated with ultragraphs. These theorems characterize ultragraphs for which the topological full group of an associated groupoid is an isomorphism invariant. These results extend those of graph groupoids to ultragraph groupoids while providing another concrete example where the topological full group of a groupoid is a complete isomorphism invariant.