Strictly outer actions satisfy the Intermediate Subfactor Property

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Let GG be a locally compact group and let QQ be a factor, with an action G↷QG\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 G↷QG\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.

References

Primary source

Rémi Boutonnet and Arnaud Brothier, “Crossed-products by locally compact groups: Intermediate subfactors”, arXiv:1611.10121 (2016).

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