Skip to main content
added dollars
Source Link
user9072
user9072

Given a weakly compact action (Ozawa-Popa) of a discrete group \Gamma$\Gamma$ on p.m space X$X$, consider the Koopman representation \pi$\pi$ on L^2(X)$L^2(X)$. Compose this representation with the Calkin projection. Will the resulting representation of \Gamma$\Gamma$ be weakly contained in the left regular representation of the group, perhaps under suitable conditions?

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?

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?

edited tags
Link
Post Migrated Here from meta.mathoverflow.net (revisions)
Source Link

Koopman representation, weakly compact action, Ozawa Popa

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?