Topological full groups of ultragraph groupoids as an isomorphism invariant
Dynamical Systems
2020-05-06 v2 Operator Algebras
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.
Cite
@article{arxiv.1912.10465,
title = {Topological full groups of ultragraph groupoids as an isomorphism invariant},
author = {Gilles Gonçalves de Castro and Daniel Gonçalves and Daniel W van Wyk},
journal= {arXiv preprint arXiv:1912.10465},
year = {2020}
}
Comments
22 pages