Weak amenability of Lie groups made discrete
Functional Analysis
2018-10-17 v2 Group Theory
Operator Algebras
Abstract
We completely characterize connected Lie groups all of whose countable subgroups are weakly amenable. We also provide a characterization of connected semisimple Lie groups that are weakly amenable. Finally, we show that a connected Lie group is weakly amenable if the group is weakly amenable as a discrete group.
Cite
@article{arxiv.1612.04280,
title = {Weak amenability of Lie groups made discrete},
author = {Søren Knudby},
journal= {arXiv preprint arXiv:1612.04280},
year = {2018}
}
Comments
Final version. To appear in Pacific Journal of Mathematics