7 papers
Triangulating surfaces quasi-isometrically
Agelos Georgakopoulos, Federico Vigolo
We prove that if a complete Riemannian surface is quasi-isometric to some bounded degree graph , then admits a triangulation whose 1-skeleton is quasi-isometric…
On automorphisms, quasimorphisms, and coarse automorphisms of acylindrically hyperbolic groups
Ashot Minasyan, Alessandro Sisto, Federico Vigolo
We investigate the action of the automorphism group of an acylindrically hyperbolic group G on its space of homogeneous quasimorphisms, and identify its kernel with the subgroup of…
Dynamical propagation and Roe algebras of warped spaces
Tim de Laat, Federico Vigolo, Jeroen Winkel
Given a non-singular action , we define the -algebra of operators of finite dynamical propagation associate…
Coarse Baum-Connes and warped cones: failure of surjectivity in odd degree
Christos Kitsios, Thomas Schick, Federico Vigolo
We prove a conjecture of Roe by constructing unified warped cones that violate the coarse Baum-Connes conjecture. Interestingly, the reason for this is probably not what Roe expect…
On a coarse invertibility spectrum for coarse groups
Leo Schäfer, Federico Vigolo
We introduce a coarse algebraic invariant for coarse groups and use it to differentiate various coarsifications of the group of integers. This lets us answer two questions posed by…
A rigidity framework for Roe-like algebras
Diego MartÃnez, Federico Vigolo
In this memoir we develop a framework to study rigidity problems for Roe-like C*-algebras of countably generated coarse spaces. The main goal is to give a complete and self-contain…