Biflatness of ${\ell}^1$-semilattice algebras
| dc.creator | Choi, Yemon | |
| dc.date | 2006-06-15 | |
| dc.date | 2007-05-10 | |
| dc.date.accessioned | 2026-07-07T10:14:40Z | |
| dc.date.available | 2026-07-07T10:14:40Z | |
| dc.description | Building on an old result of Duncan and Namioka, we show that the ${\ell}^1$-convolution algebra of a semilattice $S$ is biflat precisely when $S$ is uniformly locally finite. The proof shows in passing that for such $S$ the convolution algebra is isomorphic to ${\ell}^1(S)$ with pointwise multiplication. At the end we sketch how these techniques may be extended to prove an analogous characterisation of biflatness for Clifford semigroup algebras. | |
| dc.description | 17 pages, accepted by Semigroup Forum. Some details have been added to clarify the closing remarks on the Clifford semigroup case | |
| dc.identifier | https://arxiv.org/abs/math/0606366 | |
| dc.identifier | http://arxiv.org/abs/math/0606366 | |
| dc.identifier | Semigroup Forum 75 (2007), no. 2, 253--271. | |
| dc.identifier | doi:10.1007/s00233-007-0730-x | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172960 | |
| dc.subject | Functional Analysis | |
| dc.subject | Rings and Algebras | |
| dc.subject | 46M20, 46J40 (Primary); 43A20 (Secondary) | |
| dc.title | Biflatness of ${\ell}^1$-semilattice algebras | |
| dc.type | text |