Crossed-products by locally compact groups: Intermediate subfactors
Language
en
Article de revue
This item was published in
Journal of Operator Theory. 2018
Theta Foundation
English Abstract
We study actions of locally compact groups on von Neumann factors and the associated crossed-product von Neumann algebras. In the setting of totally disconnected groups we provide sufficient conditions on an action G Q ...Read more >
We study actions of locally compact groups on von Neumann factors and the associated crossed-product von Neumann algebras. In the setting of totally disconnected groups we provide sufficient conditions on an action G Q ensuring that the inclusion Q ⊂ Q ⋊ G is irreducible and that every intermediate subfactor is of the form Q ⋊ H for a closed subgroup H < G. This partially generalizes a result of Izumi-Longo-Popa [ILP98] and Choda [Ch78]. We moreover show that one can not hope to use their strategy for non-discrete groups.Read less <
Origin
Hal imported