10 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 to…
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…
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…
C*-rigidity of bounded geometry metric spaces
Diego Martínez, Federico Vigolo
We prove that uniformly locally finite metric spaces with isomorphic Roe algebras must be coarsely equivalent. As an application, we also prove that the outer automorphism group of…
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 Martínez, 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…