Property (T) and the Furstenberg Entropy of Nonsingular Actions
Group Theory
2016-03-15 v2 Dynamical Systems
Abstract
We establish a new characterization of property (T) in terms of the Furstenberg entropy of nonsingular actions. Given any generating measure on a countable group , A. Nevo showed that a necessary condition for to have property (T) is that the Furstenberg -entropy values of the ergodic, properly nonsingular -actions are bounded away from zero. We show that this is also a sufficient condition.
Cite
@article{arxiv.1406.4488,
title = {Property (T) and the Furstenberg Entropy of Nonsingular Actions},
author = {Lewis Bowen and Yair Hartman and Omer Tamuz},
journal= {arXiv preprint arXiv:1406.4488},
year = {2016}
}
Comments
10 pages