Remarks on actions on compacta by some infinite-dimensional groups
| dc.creator | Pestov, Vladimir | |
| dc.date | 2002-04-16 | |
| dc.date | 2002-04-23 | |
| dc.date.accessioned | 2026-07-07T08:26:58Z | |
| dc.date.available | 2026-07-07T08:26:58Z | |
| dc.description | We discuss some techniques related to equivariant compactifications of uniform spaces and amenability of topological groups. In particular, we give a new proof of a recent result by Glasner and Weiss describing the universal minimal flow of the infinite symmetric group ${\mathfrak S}_\infty$ with the standard Polish topology, and extend Bekka's concept of an amenable representation, enabling one to deduce non-amenability of the Banach--Lie groups $\GL(L_p)$ and $\GL(\ell_p)$, $1\leq p <\infty$. | |
| dc.description | 19 pages, LaTeX with World Scientific macros, to appear in Proc. Conf. on Infinite-Dimensional Lie Groups in Geometry and Representation Theory (Howard Univ., Washington, D.C., August 2000) | |
| dc.identifier | https://arxiv.org/abs/math/0204202 | |
| dc.identifier | http://arxiv.org/abs/math/0204202 | |
| dc.identifier | in: Infinite-Dimensional Lie Groups in Geometry and Representation Theory (Washington, D.C., 2000), World Sci. Publishing, River Edge, NJ, 2002, pp. 145-163. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137124 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 22F30; 37B05; 43A07 | |
| dc.title | Remarks on actions on compacta by some infinite-dimensional groups | |
| dc.type | text |