AMENABLE ACTIONS, INVARIANT MEANS AND BOUNDED COHOMOLOGY
AMENABLE ACTIONS, INVARIANT MEANS AND BOUNDED COHOMOLOGY
We show that amenability of an action of a discrete group on a compact space X is equivalent to vanishing of bounded cohomology for a class of Banach G-modules associated to the action, that can be viewed as analogs of continuous bundles of dual modules over the G-space X. In …