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arxiv: 1311.3696 · v2 · submitted 2013-11-14 · 🧮 math.GR

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Algebraic Representations of Ergodic Actions and Super-Rigidity

Uri Bader , Alex Furman
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keywords groupssuper-rigidityactionsalgebraicergodicobtainrepresentationsresults
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We revisit Margulis-Zimmer Super-Rigidity and provide some generalizations. In particular we obtain super-rigidity results for lattices in higher-rank groups or product of groups, targeting at algebraic groups over arbitrary fields with absolute values. We also obtain cocycle super-rigidity results for a wide class of groups with respect to mixing actions. Our approach is based on a systematic study of algebraic representations of ergodic actions.

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