Character rigidity for lattices and commensurators

2013/11/18 by Creutz, Darren, Peterson, Jesse · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1311.4513

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.

Cited by

• Hyperlinearity, stability and asymptotic spectral gap of higher rank lattices

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