The spine of a Fourier-Stieltjes algebra
| dc.creator | Ilie, Monica | |
| dc.creator | Spronk, Nico | |
| dc.date | 2005-05-26 | |
| dc.date | 2005-10-24 | |
| dc.date.accessioned | 2026-07-07T09:40:27Z | |
| dc.date.available | 2026-07-07T09:40:27Z | |
| dc.description | We define the spine A*(G) of the Fourier-Stieltjes algebra B(G) of a locally compact group G. A*(G) is graded over a certain semi-lattice, that of non-quotient locally precompact topologies on G. We compute the spine's spectrum G*, which admits a semi-group structure. We discuss homomorphisms from A*(G) to B(H) where H is another locally compact group; and we show that A*(G) contains the image of every completely bounded homomorphism from the Fourier algebra A(H) of any amenable group H. We also show that A*(G) contains all of the idempotents in B(G). Finally, we compute examples for vector groups, abelian lattices, minimally almost periodic groups and the ax+b-group; and we explore the complexity of A*(G) for the discrete rational numbers and free groups. | |
| dc.description | 33 pages, a few typos corrected | |
| dc.identifier | https://arxiv.org/abs/math/0505591 | |
| dc.identifier | http://arxiv.org/abs/math/0505591 | |
| dc.identifier | Proc. Lond. Math. Soc. (3) 94 (2007), no. 2, 273--301. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161490 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 43A30; 43A60, 43A07, 46L07, 22B05 | |
| dc.title | The spine of a Fourier-Stieltjes algebra | |
| dc.type | text |