On the bounded cohomology of Lie groups
Algebraic Topology
2009-05-14 v2 Group Theory
Abstract
We show that each integral Borel cohomology class of a connected Lie group G can be represented by a Borel bounded cocycle if and only if the radical of G is linear. This leads to a generalization of Gromov's boundedness theorem on characteristic classes of flat bundles.
Keywords
Cite
@article{arxiv.0904.3841,
title = {On the bounded cohomology of Lie groups},
author = {Indira Chatterji and Guido Mislin and Christophe Pittet and Laurent Saloff-Coste},
journal= {arXiv preprint arXiv:0904.3841},
year = {2009}
}
Comments
46 pages, new version with added references