On the bounded cohomology of semi-simple groups, S-arithmetic groups and products
Group Theory
2012-07-10 v1
Abstract
We prove vanishing results for Lie groups and algebraic groups (over any local field) in bounded cohomology. The main result is a vanishing below twice the rank for semi-simple groups. Related rigidity results are established for S-arithmetic groups and groups over global fields. We also establish vanishing and cohomological rigidity results for products of general locally compact groups and their lattices.
Keywords
Cite
@article{arxiv.0710.5361,
title = {On the bounded cohomology of semi-simple groups, S-arithmetic groups and products},
author = {Nicolas Monod},
journal= {arXiv preprint arXiv:0710.5361},
year = {2012}
}