Quasi-invariant states with uniformly bounded cocycles

Fuente: arXiv
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Autori principali: Dhahri, Ameur, Ricard, Eric
Natura: Preprint
Pubblicazione: 2024
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author Dhahri, Ameur
Ricard, Eric
author_facet Dhahri, Ameur
Ricard, Eric
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2412_03328
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quasi-invariant states with uniformly bounded cocycles
Dhahri, Ameur
Ricard, Eric
Operator Algebras
Functional Analysis
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.
title Quasi-invariant states with uniformly bounded cocycles
topic Operator Algebras
Functional Analysis
url https://arxiv.org/abs/2412.03328