Work

C * -rigidity of bounded geometry metric spaces

Year: 2025

Type: article

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 such a metric space is canonically isomorphic to the group of coarse equivalences of the space up to closeness.

Source: Publications mathématiques de l IHÉS

DOI: 10.1007/s10240-025-00155-3

Authors: Diego Martínez, Federico Vigolo

Institutions: KU Leuven, University of Göttingen

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,590

Funder: Deutsche Forschungsgemeinschaft