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Bibliographic Metadata

  • Title
    Topological full groups of ultragraph groupoids as an isomorphism invariant
  • Author
    Castro, Gilles Gonçalves de ; Gonçalves, Daniel ; van Wyk, Daniel W.
  • Is part of
    Münster Journal of Mathematics, Issue Münster Journal of Mathematics, page 165-189
  • Published
    2021
  • Language
    English
  • Document type
    Journal Article
  • URN
    urn:nbn:de:hbz:6-59019521069 
  • DOI
    10.17879/59019520638 
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  •  The document is publicly available on the WWW
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Abstract
  • 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.
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