Character rigidity for lattices and commensurators
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Published:2024-06
Issue:3
Volume:146
Page:687-711
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ISSN:1080-6377
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Container-title:American Journal of Mathematics
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language:en
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Short-container-title:ajm
Author:
Creutz Darren,Peterson Jesse
Abstract
abstract: We prove an operator algebraic superrigidity statement for homomorphisms of irreducible lattices, and also their commensurators, from 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.