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Support expansion -algebras
Bruno de Mendonça Braga, Joseph Eisner, David Sherman
We consider operators on spaces that expand the support of vectors in a manner controlled by some constraint function. The primary objects of study are -algebras…
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…
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…
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.…
A Ribe theorem for noncommutative L-spaces and Lipschitz free operator spaces
Bruno de Mendonça Braga, Thomas Sinclair
These notes have the intent to introduce the study of the nonlinear aspects of operator space theory. We investigate some results on the nonlinear theory of Banach spaces which rem…
Coarse Baum-Connes conjecture and rigidity for Roe algebras
Bruno de Mendonça Braga, Yeong Chyuan Chung, Kang Li
In this paper, we connect the rigidity problem and the coarse Baum-Connes conjecture for Roe algebras. In particular, we show that if and are two uniformly locally finite m…