5 citations · 5 across the 1 of their papers we have counts for
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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…
Normal Subgroup Theorem for groups acting on -buildings
Uri Bader, Alex Furman, Jean Lécureux
Let be a group acting on with finite stabilizers and finite fundamental domain on a building of type . We prove that any non-trivial normal subgroup of is of…
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…
Hyperbolic actions of higher-rank lattices come from rank-one factors
Uri Bader, Pierre-Emmanuel Caprace, Alex Furman +1
We study actions of higher rank lattices on hyperbolic spaces, and we show that all such actions satisfying mild properties come from the rank-one factors of . In particu…