Timeline for If $G$ is amenable, when $G\times G$ is amenable ?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Mar 18, 2011 at 19:05 | vote | accept | Leandro | ||
| Mar 18, 2011 at 17:28 | comment | added | Yemon Choi | The product of two locally compact amenable groups is definitely (locally compact and) amenable. Whether some subtlety arises in the non-locally-compact case, I am not sure off the top of my head | |
| Mar 18, 2011 at 16:12 | comment | added | Igor Rivin | Actually, this was not my impression. The wikipedia article is quite careful, and this statement seems to be made for all amenable topological groups. | |
| Mar 18, 2011 at 14:55 | comment | added | Leandro | Hi Igor, thanks for your reply. I looked at wikipedia article before post this question, but I thought that the statement are made for discrete amenable groups, am I right ? I also checked the references given in this article to be sure about the right hypothesis, except the book F.P. Greenleaf, Invariant Means on Topological Groups and Their Applications because we don't have it here, but I did not find this statement. | |
| Mar 18, 2011 at 14:13 | history | answered | Igor Rivin | CC BY-SA 2.5 |