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Quasi-invariant states with uniformly bounded cocycles

Published 4 Dec 2024 in math.OA and math.FA | (2412.03328v3)

Abstract: We investigate the notion of quasi-invariant states introduced in [2, 3] 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 Kovacs and Szucs to get a conditional expectation on fixed points and another of Stormer to get an invariant semifinite trace under extra assumptions.

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