3 papers
math.OA2025
A note on the quasi-local algebra of expander graphs
Bruno M. Braga, Ján Špakula, Alessandro Vignati
We show that the quasi-local algebra of a coarse disjoint union of expander graphs does not contain a Cartan subalgebra isomorphic to . N. Ozawa has recently shown tha…
math.OA2025
A quantization of coarse spaces and uniform Roe algebras
Bruno M. Braga, Joseph Eisner, David Sherman
We propose a quantization of coarse spaces and uniform Roe algebras. The objects are based on the quantum relations introduced by N. Weaver and require the choice of a represented…
math.OA2020
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…