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arXiv · 1912.10465

Topological full groups of ultragraph groupoids as an isomorphism invariant

Gilles Gonçalves de Castro·Daniel Gonçalves·Daniel W van Wyk
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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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Gilles Gonçalves de Castro, Daniel Gonçalves, Daniel W van Wyk. 2019-12-22. Topological full groups of ultragraph groupoids as an isomorphism invariant. https://arxiv.org/abs/1912.10465

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