Timeline for Reference request: hyperfinite cross product
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Oct 14 at 0:00 | comment | added | Kaku Seiga | Thank you for your references. I came across the same definition of amenable group action in Ozawa's textbook (something called $C^*$-algebra ... finite dimensional approximation), and, if I recall, the definition in your answer is the one for a general amenable group action. It is new to me that $L^{\infty}(X, \mu) \overline{\rtimes}_{\alpha} G$ being hyperfinite is equivalent to the amenability of the group action. I currently do not have access to mathscinet but will look into papers written by Zimmer and Renault. | |
| Oct 13 at 23:53 | vote | accept | Kaku Seiga | ||
| Oct 13 at 19:50 | history | answered | R W | CC BY-SA 4.0 |