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Banach bimodule associated to an action of a discrete group on a compact space

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1132)

Abstract

We associate to an action of a countable discrete group Γ on a compact space X a normal dual Banach N bimodule Z, with separable predual, where N is the group Von Neumann algebra of Γ; and a canonical class of derivations from M to Z o which are inner if and only if there is on X a Γ invariant probability measure.

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© 1985 Springer-Verleg

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Bion-Nadal, J. (1985). Banach bimodule associated to an action of a discrete group on a compact space. In: Araki, H., Moore, C.C., Stratila, ŞV., Voiculescu, DV. (eds) Operator Algebras and their Connections with Topology and Ergodic Theory. Lecture Notes in Mathematics, vol 1132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074877

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  • DOI: https://doi.org/10.1007/BFb0074877

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15643-7

  • Online ISBN: 978-3-540-39514-0

  • eBook Packages: Springer Book Archive