39 citations · 148 across the 17 of their papers we have counts for
4 papers · 1 filter
Ergodicity of principal algebraic group actions
Hanfeng Li, Jesse Peterson, Klaus Schmidt
An \textit{algebraic} action of a discrete group is a homomorphism from to the group of continuous automorphisms of a compact abelian group . By duality, such an action…
Character rigidity for lattices and commensurators
Darren Creutz, Jesse Peterson
We prove an operator algebraic superrigidity statement for homomorphisms of irreducible lattices, and also their commensurators, in certain higher-rank groups into unitary groups o…
Character rigidity for special linear groups
Jesse Peterson, Andreas Thom
In this paper we study characters on special linear groups SL_n(R), where R is either an infinite field or the localization of an order in a number field. We give several applicati…
Stabilizers of Ergodic Actions of Lattices and Commensurators
Darren Creutz, Jesse Peterson
We prove that any ergodic measure-preserving action of an irreducible lattice in a semisimple group, with finite center and each simple factor having rank at least two, either has…