1 citations · 1 across the 5 of their papers we have counts for
9 papers
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…
On the uniform Roe algebra as a Banach algebra and embeddings of uniform Roe algebras
Bruno de Mendonça Braga, Alessandro Vignati
We work on uniform Roe algebras associated to metric spaces, and on their mutual embedding. We generalize results of I. Farah and the authors to mutual embeddings of unifo…
Embeddings of uniform Roe algebras
Bruno de Mendonça Braga, Ilijas Farah, Alessandro Vignati
In this paper, we study embeddings of uniform Roe algebras. Generally speaking, given metric spaces and , we are interested in which large scale geometric properties are sta…