Character rigidity for special linear groups

By J. Peterson, Andreas Thom. 2013

55 citations recorded by the source corpus.

In this paper we study characters on special linear groups SL_n(R), where R is either an infinite field or the localization of an order in a number field. We give several applications to the theory of measure preserving actions, operator-algebraic superrigidity, and almost homomorphisms.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/72186bd55c8819c395d59952e28bf57a5ee29876

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Cyril Houdayer
2. D. Hadwin
3. R. Boutonnet
4. J. Peterson
5. T. Shulman
6. U. Bader
7. Adrian Ioana
8. S. Vaes

In Discrete Mathematics and Combinatorics

1. J. Peterson
2. U. Bader
3. P. Caprace
4. A. Erschler
5. D. Fisher

In Mathematical Physics

1. Cyril Houdayer
2. J. Peterson
3. D. Hadwin
4. R. Boutonnet
5. T. Shulman
6. U. Bader
7. Adrian Ioana
8. S. Vaes

Citations in the corpus

• Stability of group relations under small Hilbert–Schmidt perturbations (2017, background): “Recall that a group G has character rigidity if the only extremal characters of G which are not induced from the center are the traces of finite-dimensional representations ([25]).”
• Charmenability of arithmetic groups of product type (2020, result): “We refer to [10,11,16,23,28] for other classification results for characters.”