5 citations · 13 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
A Normal Subgroup Theorem for Commensurators of Lattices
Darren Creutz, Yehuda Shalom
We establish a general normal subgroup theorem for commensurators of lattices in locally compact groups. While the statement is completely elementary, its proof, which rests on the…
Stabilizers of Actions of Lattices in Products of Groups
Darren Creutz
We prove that any ergodic nonatomic probability-preserving action of an irreducible lattice in a semisimple group, at least one factor being connected and higher-rank, is essential…
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…