Coarse equivalence versus bijective coarse equivalence of expander graphs (Q6562897)

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scientific article; zbMATH DE number 7872216
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Coarse equivalence versus bijective coarse equivalence of expander graphs
scientific article; zbMATH DE number 7872216

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    Coarse equivalence versus bijective coarse equivalence of expander graphs (English)
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    27 June 2024
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    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.
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    coarse geometry
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    coarse equivalences
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    expander graphs
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    uniform Roe algebras
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