Ergodic boundary representations
Dynamical Systems
2016-09-20 v2
Abstract
We prove a von Neumann type ergodic theorem for averages of unitary operators arising from the Furstenberg-Poisson boundary representation (the quasi-regular representation) of any lattice in a non-compact connected semisimple Lie group with finite center.
Cite
@article{arxiv.1608.07131,
title = {Ergodic boundary representations},
author = {Adrien Boyer and Gabriele Link and Christophe Pittet},
journal= {arXiv preprint arXiv:1608.07131},
year = {2016}
}
Comments
New version in a new format with new references, 37 pages