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math.OA2020
Coarse quotients of metric spaces and embeddings of uniform Roe algebras
Bruno de Mendonça Braga
We study embeddings of uniform Roe algebras which have "large range" in their codomain and the relation of those with coarse quotients between metric spaces. Among other results, w…
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
Completely coarse maps are -linear
Bruno M. Braga, Javier Alejandro Chávez-Domínguez
A map between operator spaces is called completely coarse if the sequence of its amplifications is equi-coarse. We prove that all completely coarse maps must be -linear.…