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arXiv · 2412.03328

Quasi-invariant states with uniformly bounded cocycles

Ameur Dhahri·Eric Ricard
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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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Ameur Dhahri, Eric Ricard. 2024-12-04. Quasi-invariant states with uniformly bounded cocycles. https://arxiv.org/abs/2412.03328

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