A Connes-amenable, dual Banach algebra need not have a normal, virtual diagonal
| dc.creator | Runde, Volker | |
| dc.date | 2003-10-10 | |
| dc.date | 2004-06-01 | |
| dc.date.accessioned | 2026-07-07T06:19:52Z | |
| dc.date.available | 2026-07-07T06:19:52Z | |
| dc.description | Let $G$ be a locally compact group, and let $WAP(G)$ denote the space of weakly almost periodic functions on $G$. We show that, if $G$ is a $[SIN]$-group, but not compact, then the dual Banach algebra $WAP(G)^\ast$ does not have a normal, virtual diagonal. Consequently, whenever $G$ is an amenable, non-compact $[SIN]$-group, $WAP(G)^\ast$ is an example of a Connes-amenable, dual Banach algebra without a normal,virtual diagonal. | |
| dc.description | 16 pages; some more, minor revisions | |
| dc.identifier | https://arxiv.org/abs/math/0310151 | |
| dc.identifier | http://arxiv.org/abs/math/0310151 | |
| dc.identifier | Trans. Amer. Math. Soc. 358 (2006), 391-402 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95176 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 22A15, 22A20, 43A07, 43A10, 43A60, 46H20 (primary) 46H25, 46M18, 46M20 | |
| dc.title | A Connes-amenable, dual Banach algebra need not have a normal, virtual diagonal | |
| dc.type | text |