6 citations · 6 across the 6 of their papers we have counts for
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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…
Fraïssé theory in operator algebras
Alessandro Vignati
We overview the development of Fraïssé theory in the setting of continuous model theory, and some of the its recent applications to -algebra theory and functional ana…
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…
General uniform Roe algebra rigidity
Bruno de Mendonça Braga, Ilijas Farah, Alessandro Vignati
We generalize all known results on rigidity of uniform Roe algebras to the setting of arbitrary uniformly locally finite coarse spaces. For instance, we show that isomorphism betwe…
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…