Examples of groups which are not weakly amenable
Operator Algebras
2015-01-14 v2 Functional Analysis
Group Theory
Abstract
We prove that weak amenability of a locally compact group imposes a strong condition on its amenable closed normal subgroups. This extends non weak amenability results of Haagerup (1988) and Ozawa--Popa (2010). A von Neumann algebra analogue is also obtained.
Cite
@article{arxiv.1012.0613,
title = {Examples of groups which are not weakly amenable},
author = {Narutaka Ozawa},
journal= {arXiv preprint arXiv:1012.0613},
year = {2015}
}
Comments
10 pages; some remarks are clarified (v2)