The rigidity problem for uniform Roe algebras
Operator Algebras
2026-02-03 v1 Functional Analysis
Metric Geometry
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.
Keywords
Cite
@article{arxiv.2602.01998,
title = {The rigidity problem for uniform Roe algebras},
author = {Alessandro Vignati},
journal= {arXiv preprint arXiv:2602.01998},
year = {2026}
}
Comments
21 pages, comments welcome