Strictly outer actions satisfy the Intermediate Subfactor Property
Strictly outer actions satisfy the Intermediate Subfactor Property
Let be a locally compact group and let be a factor, with an action . The action is strictly outer when it is outer on every nontrivial subgroup in the sense used in the paper.
Strictly outer action conjecture. Any strictly outer action on a factor of any type satisfies the Intermediate Subfactor Property.
This conjecture generalizes the paper's intermediate-subfactor theorem beyond the semi-finite setting and beyond the specific hypotheses treated there. Its status is not determined by the supplied text.
Sources & referencesView supporting material
Primary source
Rémi Boutonnet and Arnaud Brothier, “Crossed-products by locally compact groups: Intermediate subfactors”, arXiv:1611.10121 (2016).
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