Module Amenability for Semigroup Algebras
| dc.creator | Amini, Massoud | |
| dc.date | 2002-05-23 | |
| dc.date.accessioned | 2026-07-07T04:48:41Z | |
| dc.date.available | 2026-07-07T04:48:41Z | |
| dc.description | We extend the concept of amenability of a Banach algebra $A$ to the case that there is an extra $\mathfrak A$-module structure on $A$, and show that when $S$ is an inverse semigroup with subsemigroup $E$ of idempotents, then $A=\ell^1(S)$ as a Banach module over $\mathfrak A=\ell^1(E)$ is module amenable iff $S$ is amenable. When $S$ is a discrete group, $\ell^1(E)=\mathbb C$ and this is just the celebrated Johnson's theorem. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0205256 | |
| dc.identifier | http://arxiv.org/abs/math/0205256 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64144 | |
| dc.subject | Functional Analysis | |
| dc.title | Module Amenability for Semigroup Algebras | |
| dc.type | text |