We investigate the notion of quasi-invariant states introduced in [2] from an analytic viewpoint. We give the structures of quasi-invariant states with uniformly bounded cocycles. As a consequence, we can apply a Theorem of Kovács and Szücs to get a conditional expectation on fixed points and another of Størmer to get an invariant semifinite trace under extra assumptions.
Quasi-invariant States with Uniformly Bounded Cocycles
Dhahri, Ameur;
2025-01-01
Abstract
We investigate the notion of quasi-invariant states introduced in [2] from an analytic viewpoint. We give the structures of quasi-invariant states with uniformly bounded cocycles. As a consequence, we can apply a Theorem of Kovács and Szücs to get a conditional expectation on fixed points and another of Størmer to get an invariant semifinite trace under extra assumptions.File in questo prodotto:
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