Super-Rigidity and non-linearity for lattices in products

Abstract

We prove a super-rigidity result for algebraic representations over complete fields of irreducible lattices in product of groups and lattices with dense commensurator groups. We derive some criteria for non-linearity of such groups.

arXiv admin note: text overlap with arXiv:1311.3696

Cited by in corpus (4)

• Charmenability of arithmetic groups of product type
• Charmenability of higher rank arithmetic groups
• On relative commutants of subalgebras in group and tracial crossed product von Neumann algebras
• Boundaries and equivariant maps for ergodic groupoids