Amenability and weak amenability of the Fourier algebra
| dc.creator | Forrest, Brian E. | |
| dc.creator | Runde, Volker | |
| dc.date | 2002-11-18 | |
| dc.date | 2004-04-28 | |
| dc.date.accessioned | 2026-07-07T04:53:04Z | |
| dc.date.available | 2026-07-07T04:53:04Z | |
| dc.description | Let $G$ be a locally compact group. We show that its Fourier algebra $A(G)$ is amenable if and only if $G$ has an abelian subgroup of finite index, and that its Fourier-Stieltjes algebra $B(G)$ is amenable if and only if $G$ has a compact, abelian subgroup of finite index. We then show that $A(G)$ is weakly amenable if the component of the identity of $G$ is abelian, and we prove some partial results towards the converse. | |
| dc.description | 16 pages; some, hopefully clarifying revisions | |
| dc.identifier | https://arxiv.org/abs/math/0211284 | |
| dc.identifier | http://arxiv.org/abs/math/0211284 | |
| dc.identifier | Math. Z. 250 (2005), 731-744 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65704 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 22D25, 22E99, 43A30, 46H20 (primary), 46H25, 47L50 | |
| dc.title | Amenability and weak amenability of the Fourier algebra | |
| dc.type | text |