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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A. CONNES On the cohomology of operator algebras, Journal of functional analysis. Vol.28, No2.
J. DIXMIER Les moyennes invariantes dans les semi-groupes et leurs applications, Acta Sci.Math.12.
J. DIXMIER Les algèbres d’opérateurs dans l’espace hilbertien, Gauthier-Villars, Paris.
F-P. GPREENLEAF Invariant means on topological groups, Math. studies No 16, van Nostand-Reinhold, New York
B. JOHNSON, R-V KADISON and J. RINGROSE, Cohomology of operator algebras, III, Bull.soc.Math. France 100.
G-K PEDERSON C* algebras and their automorphism groups, Academic Press.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1985 Springer-Verleg
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0074877
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15643-7
Online ISBN: 978-3-540-39514-0
eBook Packages: Springer Book Archive