Character rigidity for lattices and commensurators
Operator Algebras
2022-03-23 v3 Dynamical Systems
Group Theory
Abstract
We prove an operator algebraic superrigidity statement for homomorphisms of irreducible lattices, and also their commensurators, in certain higher-rank groups into unitary groups of finite factors. This extends the authors' previous work regarding non-free measure-preserving actions, and also answers a question of Connes for such groups.
Keywords
Cite
@article{arxiv.1311.4513,
title = {Character rigidity for lattices and commensurators},
author = {Darren Creutz and Jesse Peterson},
journal= {arXiv preprint arXiv:1311.4513},
year = {2022}
}
Comments
Added the hypothesis of compact generation to Theorem 4.2