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...
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| Dokumenttypen: | Artikel |
| Medientypen: | Text |
| Erscheinungsdatum: | 2021 |
| Publikation in MIAMI: | 16.02.2021 |
| Datum der letzten Änderung: | 16.02.2021 |
| Quelle: | Münster Journal of Mathematics, 14 (2021), S. 165-189 |
| Verlag/Hrsg.: |
Mathematisches Institut (Universität Münster)
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| Angaben zur Ausgabe: | [Electronic ed.] |
| Fachgebiet (DDC): | 510: Mathematik |
| Lizenz: | InC 1.0 |
| Sprache: | English |
| Format: | PDF-Dokument |
| URN: | urn:nbn:de:hbz:6-59019521069 |
| Weitere Identifikatoren: | DOI: 10.17879/59019520638 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-59019521069 |
| Onlinezugriff: | 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.