Uniform Roe algebras of uniformly locally finite metric spaces are rigid

Florent P. Baudier, Bruno de Mendonça Braga, Ilijas Farah +3

We show that if $X$ and $Y$ are uniformly locally finite metric spaces whose uniform Roe algebras, $\cstu(X)$ and $\cstu(Y)$, are isomorphic as \cstar-algebras, then $X$ and $Y$ ar…