Biflatness and biprojectivity of the Fourier algebra
Functional Analysis
2009-06-01 v2
Abstract
We show that the biflatness - in the sense of A. Ya. Helemskii - of the Fourier algebra of a locally compact group forces to either have an abelian subgroup of finite index or to be non-amenable without containing , the free group in two generators, as a closed subgroup. An analogous dichotomy is obtained for biprojectivity.
Cite
@article{arxiv.0808.1146,
title = {Biflatness and biprojectivity of the Fourier algebra},
author = {Volker Runde},
journal= {arXiv preprint arXiv:0808.1146},
year = {2009}
}
Comments
6 pages; a few typos fixed