Strictly outer actions satisfy the Intermediate Subfactor Property

Let GG be a locally compact group and let QQ be a factor, with an action GQG\curvearrowright Q. 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 GQG\curvearrowright Q 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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