On the relative bicentralizer flows and the relative flow of weights of inclusions of factors of type III₁

2018/12/07 by Masuda, Toshihiko
#46L37 #46L40 #46L55 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1812.02877

Abstract

We show the relative bicentralizer flow and the relative flow of weights are isomorphic for an inclusion of injective factors of type III₁ with finite index, or an irreducible discrete inclusion whose small algebra is an injective factor of type III₁.

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• Kadison's problem for type III subfactors and the bicentralizer conjecture
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• A note on injective factors with trivial bicentralizer