Coarse equivalence versus bijective coarse equivalence of expander graphs
arXiv (Cornell University)(2023)
摘要
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.
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关键词
bijective coarse equivalence,coarse equivalence,expander
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