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math.OA2022
Embeddings of von Neumann algebras into uniform Roe algebras and quasi-local algebras
Florent P. Baudier, Bruno de Mendonça Braga, Ilijas Farah +2
We study which von Neumann algebras can be embedded into uniform Roe algebras and quasi-local algebras associated to a uniformly locally finite metric space . Under weak assumpt…
math.OA2021★ 14 cited
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 and are uniformly locally finite metric spaces whose uniform Roe algebras, $\cstu(X)$ and $\cstu(Y)$, are isomorphic as \cstar-algebras, then and ar…