Algebraic Representations of Ergodic Actions and Super-Rigidity

Uri Bader; Alex Furman

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arXiv · 1311.3696

Algebraic Representations of Ergodic Actions and Super-Rigidity

Uri Bader·Alex Furman

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Abstract

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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Uri Bader, Alex Furman. 2014-03-17. Algebraic Representations of Ergodic Actions and Super-Rigidity. https://arxiv.org/abs/1311.3696

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