87 citations · 321 across the 43 of their papers we have counts for
55 papers
Fixed point properties and cohomology of Banach representations of arithmetic groups
Saar Bader, Shaked Bader, Uri Bader +1
We study fixed point theorems for actions of lattices of semisimple groups. They are deduced from vanishing results for the group cohomology of -representations. We show that…
On the unitary cohomology of semisimple groups
Uri Bader, Michael Glasner, Yuval Gorfine +1
We study the continuous homology and cohomology of semisimple Lie groups with coefficients in arbitrary unitary representations. The case of irreducible representations was determi…
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…
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…
Spectral gap for products and a strong normal subgroup theorem
Uri Bader, Tsachik Gelander, Arie Levit
We establish a general spectral gap theorem for actions of products of groups which may replace Kazhdan's property (T) in various situations. As a main application, we prove that a…
Uniform waist inequalities in codimension two for manifolds with Kazhdan fundamental group
Uri Bader, Roman Sauer
Let M be a closed Riemannian manifold with Kazhdan fundamental group. It is well known that the Cheeger inequality yields a uniform waist inequality in codimension one for the fini…