扩展图的粗等价性与双射粗等价性

IF 1 3区数学 Q1 MATHEMATICS Mathematische Zeitschrift Pub Date : 2024-05-30 DOI:10.1007/s00209-024-03512-w

Florent P. Baudier, Bruno M. Braga, Ilijas Farah, Alessandro Vignati, Rufus Willett

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引用次数: 0

摘要

我们提供了扩展图的粗略不相交联合体之间的粗略等价接近于双射粗略等价的特征。我们用它来证明，如果扩展子图的粗略不相交联合的均匀罗氏代数是同构的，那么这些度量空间一定是双射粗等价的。

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Coarse equivalence versus bijective coarse equivalence of expander graphs

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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