The rigidity problem for uniform Roe algebras

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Alessandro Vignati
Cited by: 0

Abstract

We solve the rigidity problem for uniform Roe algebras, by showing that two uniformly locally finite metric spaces with isomorphic uniform Roe algebras are bijectively coarsely equivalent.

Fields of Study & Subjects

Advanced Operator Algebra Research Advanced Banach Space Theory Advanced Topology and Set Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
2 February 2026
Document type
Preprint