Non-uniform higher-rank lattices are character rigid (2507.21862v1)

Published 29 Jul 2025 in math.GR, math.DS, math.OA, and math.RT

Abstract: We establish character rigidity for all non-uniform higher-rank irreducible lattices in semisimple groups of characteristic other than 2. This implies stabilizer rigidity for probability measure preserving actions and rigidity of invariant random subgroups, confirming a conjecture of Stuck and Zimmer for non-uniform lattices in full generality.

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