Locally trivial W*-bundles

Evington Samuel, Pennig Ulrich

Research article (journal) | Peer reviewed

Abstract

We prove that a tracially continuous W∗-bundle over a compact Hausdorff space X with all fibres isomorphic to the hyperfinite II_1-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.

Details about the publication

JournalInternational Journal of Mathematics (Internat. J. Math.)
Volume2016
Statussubmitted / under review
Release year2016
Language in which the publication is writtenEnglish

Authors from the University of Münster

Pennig, Ulrich
Professur für Theoretische Mathematik (Prof. Bartels)