Can lattices in SL(n,R) act on the circle?
Representation Theory
2009-02-04 v3 Group Theory
Abstract
This expository paper describes the various methods that have yielded partial results on the conjecture that if n > 2, then no lattice in SL(n,R) has a faithful action on the circle (by homeomorphisms). Topics include amenability, Kazhdan's property (T), bounded cohomology, bounded generation, and the Reeb-Thurston Stability Theorem.
Keywords
Cite
@article{arxiv.0811.0051,
title = {Can lattices in SL(n,R) act on the circle?},
author = {Dave Witte Morris},
journal= {arXiv preprint arXiv:0811.0051},
year = {2009}
}
Comments
This version corrects an error in the proof of the Moore Ergodicity Theorem