On the relative bicentralizer flows and the relative flow of weights of inclusions of factors of type III₁
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keywords
relativeflowtypebicentralizerfactorsinclusioninjectiveweights
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We show the relative bicentralizer flow and the relative flow of weights are isomorphic for an inclusion of injective factors of type III$_1$ with finite index, or an irreducible discrete inclusion whose small algebra is an injective factor of type III$_1$.
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