Coarse equivalence versus bijective coarse equivalence of expander graphs. (English) Zbl 07872216
The authors characterize when a coarse equivalence between coarse disjoint unions of expander graphs is close to a bijective coarse equivalence. They 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.
Reviewer: Erich W. Ellers (Toronto)
MSC:
| 51F30 | Lipschitz and coarse geometry of metric spaces |
| 05C48 | Expander graphs |
| 46L05 | General theory of \(C^*\)-algebras |
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