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- W4300404914 abstract "Let $G$ be a discrete group acting on a von Neumann algebra $M$ by properly outer $*$-automorphisms. In this paper we study the containment $M subseteq Mrtimes_alpha G$ of $M$ inside the crossed product. We characterize the intermediate von Neumann algebras, extending earlier work of other authors in the factor case. We also determine the $M$-bimodules that are closed in the Bures topology and which coincide with the $w^*$-closed ones under a mild hypothesis on $G$. We use these results to obtain a general version of Mercer's theorem concerning the extension of certain isometric $w^*$-continuous maps on $M$-bimodules to $*$-automorphisms of the containing von Neumann algebras." @default.
- W4300404914 created "2022-10-03" @default.
- W4300404914 creator A5012642262 @default.
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- W4300404914 date "2016-06-07" @default.
- W4300404914 modified "2023-10-16" @default.
- W4300404914 title "Intermediate subalgebras and bimodules for crossed products of general von Neumann algebras" @default.
- W4300404914 doi "https://doi.org/10.48550/arxiv.1606.02327" @default.
- W4300404914 hasPublicationYear "2016" @default.
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