Coarse equivalence versus bijective coarse equivalence of expander graphs

التفاصيل البيبلوغرافية
العنوان: Coarse equivalence versus bijective coarse equivalence of expander graphs
المؤلفون: Baudier, Florent, Braga, Bruno de Mendonça, Farah, Ilijas, Vignati, Alessandro, Willett, Rufus
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Metric Geometry, Mathematics - Functional Analysis, Mathematics - Operator Algebras
الوصف: 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.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2307.11529
رقم الأكسشن: edsarx.2307.11529
قاعدة البيانات: arXiv