Locally trivial W*-bundles

Evington, S. and Penning, U. (2016) Locally trivial W*-bundles. International Journal of Mathematics, 27(11), 1650088. (doi:10.1142/S0129167X16500889)

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Abstract

We prove that a tracially continuous W∗-bundle M over a compact Hausdorff space X with all fibres isomorphic to the hyperfinite II1 factor R that is locally trivial already has to be globally trivial. The proof uses the contractibility of the automorphism group Aut(R) shown by Popa and Takesaki. There is no restriction on the covering dimension of X.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Evington, Dr Samuel
Authors: Evington, S., and Penning, U.
College/School:College of Science and Engineering > School of Mathematics and Statistics
Journal Name:International Journal of Mathematics
Publisher:World Scientific Publishing
ISSN:0129-167X
ISSN (Online):1793-6519
Published Online:14 October 2016
Copyright Holders:Copyright © 2016 The Authors
First Published:First published in International Journal of Mathematics 27(11):1650088
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
608951Engineering and Physical Sciences Doctoral Training Grant 2012-16Mary Beth KneafseyEngineering & Physical Sciences Research Council (EPSRC)EP/K503058/1VICE PRINCIPAL RESEARCH & ENTERPRISE
584862EPSRC Doctoral Training Grant 2011-2015Mary Beth KneafseyEngineering & Physical Sciences Research Council (EPSRC)EP/J500434/1VICE PRINCIPAL RESEARCH & ENTERPRISE