Integrable measure equivalence and rigidity of hyperbolic lattices
Group Theory
2012-12-13 v2 Dynamical Systems
Abstract
We study rigidity properties of lattices in hyperbolic n-space with n>2 and of surface groups in the context of (integrable) measure equivalence. The results for lattices in hyperbolic n-space with n>2 are generalizations of Mostow rigidity; they include a cocycle version of strong rigidity and an integrable measure equivalence classification. Despite the lack of Mostow rigidity for n=2 we show that cocompact lattices in SL(2,R) allow a similar integrable measure equivalence classification.
Cite
@article{arxiv.1006.5193,
title = {Integrable measure equivalence and rigidity of hyperbolic lattices},
author = {Uri Bader and Alex Furman and Roman Sauer},
journal= {arXiv preprint arXiv:1006.5193},
year = {2012}
}
Comments
50 pages; final version