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Character rigidity for lattices and commensurators

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arxiv 1311.4513 v3 pith:B6MWRFEX submitted 2013-11-18 math.OA math.DSmath.GR

Darren Creutz , Jesse Peterson This is my paper · ORCID
classification math.OAmath.DSmath.GR
keywords groupscommensuratorslatticesactionsalgebraicanswersauthorscertain
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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.

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  1. Stationary characters on lattices of semisimple Lie groups

    math.GR 2019-08 accept novelty 8.0 of 10

    Every stationary character on an irreducible lattice of a higher-rank semisimple Lie group is a genuine character, yielding new rigidity and URS finiteness results.

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