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Super-rigidity and non-linearity for lattices in products

Part of: Lie groups Locally compact groups and their algebras

Published online by Cambridge University Press:  26 November 2019

Uri Bader  and
Alex Furman
Uri Bader
Affiliation:
Weizmann Institute, Rehovot, Israel email bader@weizmann.ac.il
Alex Furman
Affiliation:
University of Illinois at Chicago, USA email furman@uic.edu
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Abstract

We prove a super-rigidity result for algebraic representations over complete fields of irreducible lattices in products of groups and lattices with dense commensurator groups. We derive criteria for the non-linearity of such groups.

Keywords

super-rigiditylatticesPolish fields

MSC classification

Primary: 22E40: Discrete subgroups of Lie groups
Secondary: 22D40: Ergodic theory on groups
Type
Research Article
Information
Compositio Mathematica , Volume 156 , Issue 1 , January 2020 , pp. 158 - 178
Copyright
© The Authors 2019 

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Footnotes

U. Bader was supported in part by the ISF-Moked grant 2095/15 and the ERC grant 306706. A. Furman was supported in part by the NSF grant DMS 1611765.

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