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Masas and bimodule decompositions of II1 factors
Published in
2011
Volume: 62
   
Issue: 2
Pages: 451 - 486
Abstract
The measure-multiplicity invariant of masas in II1 factors was introduced by Dykema, Smith and Sinclair to distinguish masas that have the same Pukánszky invariant. In this paper, we study the measure class in the measure-multiplicity invariant. This is equivalent to studying the standard Hilbert space as an associated bimodule. We characterize the type of any masa depending on the measure class. We present a proof of Chifan's normalizer theorem and a measure theoretic proof of the equivalence of weak asymptotic homomorphism property and singularity. © 2010. Published by Oxford University Press. All rights reserved.
About the journal
JournalQuarterly Journal of Mathematics
Open AccessNo