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December 2007 A Characterization of a Coaction Reduced to That of a Closed Subgroup
Hisashi AOI
Tokyo J. Math. 30(2): 311-324 (December 2007). DOI: 10.3836/tjm/1202136678

Abstract

It is shown that, for any coaction $\alpha$ of a locally compact group $K$ on a properly infinite von Neumann algebra $A$ and a closed subgroup $H$ of $K$, $\alpha$ is cocycle conjugate to a coaction which comes from a coaction of $H$ if and only if the dual action $\widehat{\alpha}$ is induced by an action of $H$. We also include applications of the result concerning almost periodic coactions and the ranges of 1-cocycles on measured equivalence relations.

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Hisashi AOI. "A Characterization of a Coaction Reduced to That of a Closed Subgroup." Tokyo J. Math. 30 (2) 311 - 324, December 2007. https://doi.org/10.3836/tjm/1202136678

Information

Published: December 2007
First available in Project Euclid: 4 February 2008

zbMATH: 1156.46043
MathSciNet: MR2376511
Digital Object Identifier: 10.3836/tjm/1202136678

Rights: Copyright © 2007 Publication Committee for the Tokyo Journal of Mathematics

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Vol.30 • No. 2 • December 2007
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