Coarse equivalence versus bijective coarse equivalence of expander graphs
Metric Geometry
2023-07-24 v1 Functional Analysis
Operator Algebras
Abstract
We provide a characterization of when a coarse equivalence between coarse disjoint unions of expander graphs is close to a bijective coarse equivalence. We use this to show that if the uniform Roe algebras of coarse disjoint unions of expanders graphs are isomorphic, then the metric spaces must be bijectively coarsely equivalent.
Keywords
Cite
@article{arxiv.2307.11529,
title = {Coarse equivalence versus bijective coarse equivalence of expander graphs},
author = {Florent Baudier and Bruno de Mendonça Braga and Ilijas Farah and Alessandro Vignati and Rufus Willett},
journal= {arXiv preprint arXiv:2307.11529},
year = {2023}
}