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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.MG2022
-distortion of Wasserstein metrics: a tale of two dimensions
Florent P. Baudier, Chris Gartland, Thomas Schlumprecht
By discretizing an argument of Kislyakov, Naor and Schechtman proved that the 1-Wasserstein metric over the planar grid has -distortion bounded below by a…