3 papers
math.OA2025
C*-rigidity of bounded geometry metric spaces
Diego Martínez, Federico Vigolo
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…
math.OA2024
A rigidity framework for Roe-like algebras
Diego Martínez, Federico Vigolo
In this memoir we develop a framework to study rigidity problems for Roe-like C*-algebras of countably generated coarse spaces. The main goal is to give a complete and self-contain…
math.OA2023
Roe algebras of coarse spaces via coarse geometric modules
Diego Martínez, Federico Vigolo
We provide a construction of Roe (C*-)algebras of general coarse spaces in terms of coarse geometric modules. This extends the classical theory of Roe algebras of metric spaces and…