Authors: Baudier, Florent P.
Braga, Bruno M.
Farah, Ilijas 
Vignati, Alessandro
Willett, Rufus
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Coarse equivalence versus bijective coarse equivalence of expander graphs
Journal: Mathematische Zeitschrift
Volume: 37
First page: 44
Issue Date: 1-Jul-2024
Rank: ~M22
ISSN: 0025-5874
DOI: 10.1007/s00209-024-03512-w
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: Coarse geometry | Coarse equivalences | Expander graphs | Uniform Roe algebras
Publisher: Springer Link

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