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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.OA2022
Operator norm localization property for equi-approximable families of projections
Bruno M. Braga, Ilijas Farah, Alessandro Vignati
The rigidity problem for uniform Roe algebras was recently positively solved. Before its solution was found, there were positive solutions under the assumption of certain technical…
math.OA2022★ 1 cited
Calkin algebra, Kazhdan's property (T), strongly self-absorbing C*-algebras
Ilijas Farah
The Calkin algebra is not isomorphic to the corona of the stabilization of the Cuntz algebra~, any other Kirchberg algebra, or even the corona of the stabiliza…