The rigidity problem for uniform Roe algebras

Alessandro Vignati

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arXiv · 2602.01998

The rigidity problem for uniform Roe algebras

Alessandro Vignati

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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.

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Alessandro Vignati. 2026-02-02. The rigidity problem for uniform Roe algebras. https://arxiv.org/abs/2602.01998

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