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A MEAN ERGODIC THEOREM FOR ACTIONS OF AMENABLE QUANTUM GROUPS

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  01 August 2008

ROCCO DUVENHAGE
ROCCO DUVENHAGE*
Affiliation:
Department of Mathematics and Applied Mathematics, University of Pretoria, 0002 Pretoria, South Africa (email: rocco.duvenhage@up.ac.za)
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Abstract

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We prove a weak form of the mean ergodic theorem for actions of amenable locally compact quantum groups in the von Neumann algebra setting.

Keywords

mean ergodic theoremamenable quantum groupsvon Neumann algebras

MSC classification

Secondary: 46L55: Noncommutative dynamical systems
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 78 , Issue 1 , August 2008 , pp. 87 - 95
Copyright
Copyright © 2008 Australian Mathematical Society

References

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