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arXiv · 2501.03128

C*-rigidity of bounded geometry metric spaces

Diego Martínez·Federico Vigolo
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Abstract

We prove that uniformly locally finite metric spaces with isomorphic Roe algebras must be coarsely equivalent. As an application, we also prove that the outer automorphism group of the Roe algebra of a metric space of bounded geometry is canonically isomorphic to the group of coarse equivalences of the space up to closeness.

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Diego Martínez, Federico Vigolo. 2025-01-06. C*-rigidity of bounded geometry metric spaces. https://doi.org/10.1007/s10240-025-00155-3

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