Locally trivial W*-bundles

Evington, Samuel and Pennig, Ulrich ORCID: https://orcid.org/0000-0001-5441-6130 2016. Locally trivial W*-bundles. International Journal of Mathematics 27 , 1650088. 10.1142/S0129167X16500889

Preview

PDF - Published Version Available under License Creative Commons Attribution. Download (357kB) | Preview

Abstract

We prove that a tracially continuous W*-bundle ℳ over a compact Hausdorff space X with all fibers 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:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Additional Information:	This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License
Publisher:	World Scientific Publishing
ISSN:	0129-167X
Date of First Compliant Deposit:	24 May 2017
Date of Acceptance:	26 August 2016
Last Modified:	02 May 2023 23:19
URI:	https://orca.cardiff.ac.uk/id/eprint/95466

Actions (repository staff only)

Edit Item