On some questions of Eymard and Bekka concerning amenability of homogeneous spaces and induced representations
| dc.creator | Pestov, Vladimir | |
| dc.date | 2002-12-30 | |
| dc.date | 2003-02-05 | |
| dc.date.accessioned | 2026-07-07T08:26:58Z | |
| dc.date.available | 2026-07-07T08:26:58Z | |
| dc.description | Let $F\subseteq H\subseteq G$ be closed subgroups of a locally compact group. In response to a 1972 question by Eymard, we construct an example where the homogeneous factor-space $G/F$ is amenable in the sense of Eymard-Greenleaf, while $H/F$ is not. (In our example, $G$ is discrete.) As a corollary which answers a 1990 question by Bekka, the induced representation $\ind_H^G(ρ)$ can be amenable in the sense of Bekka even if $ρ$ is not amenable. The second example, answering another question by Bekka, shows that $\ind_H^G(ρ)$ need not be amenable even if both the representation $ρ$ and the coset space $G/H$ are amenable. | |
| dc.description | 6 pages, LaTeX 2e, to appear in: C.R.Math.Rep.Acad.Sci.Canada | |
| dc.identifier | https://arxiv.org/abs/math/0212380 | |
| dc.identifier | http://arxiv.org/abs/math/0212380 | |
| dc.identifier | C.R. Math. Rep. Acad. Sci. Canada 25 (2003), 76-81. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137127 | |
| dc.subject | Operator Algebras | |
| dc.subject | 43A07; 43A65; 43A85; 22D30 | |
| dc.title | On some questions of Eymard and Bekka concerning amenability of homogeneous spaces and induced representations | |
| dc.type | text |