Timeline for Is $SU(\infty)$ amenable?
Current License: CC BY-SA 3.0
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| Oct 25, 2011 at 18:20 | comment | added | Joseph Wolf | I found another affirmative answer in Example 3.4 of a paper "Functional Analytic Background for a Theory of Infinite-Dimensional Reductive Lie Groups" by Daniel Beltita. He shows that if $G$ is a topological group and there is a directed system $\{G_\alpha\}_{\alpha \in A}$ of amenable topological subgroups whose union is dense in $G$ then $G$ is amenable. Here "amenable" means that there is a left-invariant mean. | |
| Oct 25, 2011 at 18:13 | vote | accept | Joseph Wolf | ||
| Oct 25, 2011 at 18:13 | |||||
| Oct 17, 2011 at 17:59 | history | edited | Andreas Thom | CC BY-SA 3.0 |
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| Oct 17, 2011 at 17:23 | history | answered | Andreas Thom | CC BY-SA 3.0 |