Timeline for Characterization of amenable actions
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 21, 2022 at 13:55 | history | edited | YCor |
edited tags
|
|
| Mar 26, 2022 at 13:53 | answer | added | Alcides Buss | timeline score: 5 | |
| May 29, 2013 at 16:42 | vote | accept | user33576 | ||
| May 29, 2013 at 16:42 | vote | accept | user33576 | ||
| May 29, 2013 at 16:42 | |||||
| May 28, 2013 at 19:15 | answer | added | Jesse Peterson | timeline score: 9 | |
| May 28, 2013 at 19:13 | comment | added | Jesse Peterson | @Martin: Thanks, I thought this was the case, but I wanted to make sure. | |
| May 28, 2013 at 5:18 | comment | added | user33576 | @Martin - you are absolutely right - that is an impressive identification. Thank you for posting a link to the somewhat technical definitions that appear in the question. | |
| May 28, 2013 at 2:17 | comment | added | Martin | @Jesse "unknown (google)" uses the terminology of section 4.3 of Zimmer's Ergodic theory and semi-simple groups, Monographs in Mathematics 81, Birkhäuser (1984), where all the relevant terminology and references can be found. The question asks whether the property proved in Zimmer's proposition 4.3.9 characterizes amenable actions. The definitions are also available in the preliminaries of this article by Zimmer: dx.doi.org/10.1090/S0002-9904-1977-14392-9 (for the purposes of this question one can ignore the ergodicity assumption made there). | |
| May 27, 2013 at 22:15 | comment | added | Jesse Peterson | What do you mean by an affine space over $X$, and an $\alpha$-twisted action? | |
| May 26, 2013 at 4:44 | history | edited | user33576 |
edited tags
|
|
| May 25, 2013 at 14:11 | comment | added | user33576 | I meant $G$ to be a locally compact, second countable group. By Borel $G$-action I meant a measurable action with respect to the Borel sets on $G$ and the given $\sigma$-algebra on $X$. Of course, I will be happy to hear an answer under other assumptions (such as $G$ being countable or discrete). | |
| May 23, 2013 at 16:39 | comment | added | YCor | What is $G$? a discrete group? countable? what does "Borel" mean in an abstract measure space? | |
| May 23, 2013 at 14:37 | history | edited | user33576 | CC BY-SA 3.0 |
added 19 characters in body
|
| May 23, 2013 at 13:40 | history | asked | user33576 | CC BY-SA 3.0 |