Quasi-invariant states with uniformly bounded cocycles
Operator Algebras
2025-03-25 v3 Functional Analysis
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.
Keywords
Cite
@article{arxiv.2412.03328,
title = {Quasi-invariant states with uniformly bounded cocycles},
author = {Ameur Dhahri and Eric Ricard},
journal= {arXiv preprint arXiv:2412.03328},
year = {2025}
}