A. Vignati

activity

20172025

C^{*}

-algebras: set theoretical dichotomies in the theory of continuous quotients

6 citations · 6 across the 7 of their papers we have counts for

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Showing 2020Show all

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math.OA2020

A Gelfand-type duality for coarse metric spaces with property A

Bruno de Mendonça Braga, Alessandro Vignati

We prove the following two results for a given uniformly locally finite metric space with Yu's property A: 1) The group of outer automorphisms of its uniform Roe algebra is isomorp…

math.OA2020

General uniform Roe algebra rigidity

Bruno de Mendonça Braga, Ilijas Farah, Alessandro Vignati

We generalize all known results on rigidity of uniform Roe algebras to the setting of arbitrary uniformly locally finite coarse spaces. For instance, we show that isomorphism betwe…