Reiter's properties for the actions of locally compact quantum groups on von Neumann algebras (Q553419)

Daws and Runde introduced the Reiter's conditions \(P_1\) and \(P_2\) for a general locally compact quantum group. The authors present a slightly different approach to study these conditions for the action of a locally compact quantum group on a von Neumann algebra. In particular they show that the action has Reiter's condition \(P_1\) if and only if it is left amenable and Reiter's condition \(P_2\) if and only if the corresponding unitary corepresentation (which implements the action) has the weak containment property.