Given a weakly compact action (Ozawa-Popa) of a discrete group $\Gamma$ on p.m space $X$, consider the Koopman representation $\pi$ on $L^2(X)$. Compose this representation with the Calkin projection. Will the resulting representation of $\Gamma$ be weakly contained in the left regular representation of the group, perhaps under suitable conditions?
$\begingroup$
$\endgroup$
4
-
1$\begingroup$ You can just add the dollar-symbols as usual in LaTex and alike and the math renders. $\endgroup$– user9072Commented Apr 26, 2015 at 22:20
-
$\begingroup$ Could you remind us of the definition of a weakly compact action, in this setting? $\endgroup$– Yemon ChoiCommented Apr 26, 2015 at 23:48
-
$\begingroup$ Weakly compact is the generalization of profinite action as explained in the article of Ozawa & Popa 2007 $\endgroup$– Florin RadulescuCommented Apr 28, 2015 at 12:26
-
$\begingroup$ What is the title of that article? According to zbMath, there are only three articles by Ozawa-Popa, and none in 2007. $\endgroup$– Hannes ThielCommented May 19, 2015 at 11:44
Add a comment
|