Timeline for Is $SU(\infty)$ amenable?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 25, 2011 at 18:13 | vote | accept | Joseph Wolf | ||
| Oct 25, 2011 at 18:13 | |||||
| Oct 17, 2011 at 17:23 | answer | added | Andreas Thom | timeline score: 14 | |
| Oct 16, 2011 at 21:53 | comment | added | Vitali Kapovitch | Sorry if this is silly but what exactly do you mean by amenability for non locally compact groups such as $SU(\infty)$? I'm not at all an expert on this but one definition I guess could be that if $G$ acts on a compact space then there is an invariant probability measure. With that definition I think any direct limit of amenable (in that sense) groups is amenable by weak compactness of probability measures on a compact space. | |
| Oct 16, 2011 at 21:12 | comment | added | John Wiltshire-Gordon | @Valerio Capraro Certainly it does, but that only makes it non-amenable as a discrete group. | |
| Oct 16, 2011 at 19:44 | comment | added | Valerio Capraro | I think that it contains free groups, isn't it? | |
| Oct 16, 2011 at 19:29 | history | asked | Joseph Wolf | CC BY-SA 3.0 |