Locally Trivial W*-Bundles
Operator Algebras
2019-10-03 v2
Abstract
We prove that a tracially continuous W-bundle over a compact Hausdorff space with all fibres isomorphic to the hyperfinite II-factor that is locally trivial already has to be globally trivial. The proof uses the contractibility of the automorphism group shown by Popa and Takesaki. There is no restriction on the covering dimension of .
Cite
@article{arxiv.1601.05964,
title = {Locally Trivial W*-Bundles},
author = {Samuel Evington and Ulrich Pennig},
journal= {arXiv preprint arXiv:1601.05964},
year = {2019}
}
Comments
20 pages, this version will be published in the International Journal of Mathematics