U. Bader

collaborators

7 papers

math.DS2026

Some ergodic properties of metrics on hyperbolic groups

Uri Bader, Alex Furman

Let $I^$ be a non-elementary Gromov-hyperbolic group, and $\partial I^$ denote its Gromov boundary. We consider $I^$ -invariant proper $I^´$ -hyperbolic, quasi-convex metric $d$ on $Î…

math.GR2026

Higher property T and below-rank phenomena of lattices

Uri Bader, Roman Sauer

The purpose of this paper is twofold. We explore higher property T as an abstract group-theoretic property. In particular, we provide new operator-algebraic characterizations of hi…

math.RT2026

Higher Kazhdan property and unitary cohomology of arithmetic groups

Uri Bader, Roman Sauer

Notions of higher Kazhdan property can be defined in terms of vanishing of unitary group cohomology in higher degrees. Garland's theorem for simple groups over non-archimedean fiel…

math.GR2025

Normal Subgroup Theorem for groups acting on $A ~_{2}$ -buildings

Uri Bader, Alex Furman, Jean LÃ©cureux

Let $I^$ be a group acting on with finite stabilizers and finite fundamental domain on a building of type $A ~_{2}$ . We prove that any non-trivial normal subgroup of $I^$ is of…

math.DS2025

Lyapunov spectrum via boundary theory I

Uri Bader, Alex Furman

This paper is concerned with the Lyapunov spectrum for measurable cocycles over an ergodic pmp system taking values in semi-simple real Lie groups. We prove simplicity of the Lyapu…

math.GN2025

Balanced Measures on Compact Median Algebras

Uri Bader, Aviv Taller

We initiate a systematic investigation of group actions on compact medain algebras via the corresponding dynamics on their spaces of measures. We show that a probability measure wh…