BOUTONNET, Rémi; BROTHIER, Arnaud

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BOUTONNET, Rémi
Institut de Mathématiques de Bordeaux [IMB]

BROTHIER, Arnaud
University of Rome TorVergata

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Journal of Operator Theory. 2018

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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.< Leer menos

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Crossed-products by locally compact groups: Intermediate subfactors

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