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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