29 citations · 141 across the 33 of their papers we have counts for
36 papers
The rigidity problem for uniform Roe algebras
Alessandro Vignati
We solve the rigidity problem for uniform Roe algebras, by showing that two uniformly locally finite metric spaces with isomorphic uniform Roe algebras are bijectively coarsely equ…
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…
Rigidity of Higson coronas
Alessandro Vignati
We show that under mild set theoretic hypotheses we have rigidity for algebras of continuous functions over Higson coronas, topological spaces arising in coarse geometry. In partic…
A metric lifting theorem
Ben De Bondt, Alessandro Vignati
In a recent article by Farah and the authors, a strong lifting theorem was proved for a class of coordinate-respecting maps between reduced products of discrete structures, hereby…
Generic Compacta from Relations between Finite Graphs: Theory Building and Examples
Adam Bartoš, Tristan Bice, Alessandro Vignati
In recent work, the authors developed a simple method of constructing topological spaces from certain well-behaved partially ordered sets -- those coming from sequences of relation…
Saturation of reduced products
Ben De Bondt, Ilijas Farah, Alessandro Vignati
We study reduced products of countable structures in a countable language associated with the Fréchet ideal. We prove that such is -s…