On the Relative Bicentralizer Flows and the Relative Flow of Weights of Inclusions of Factors of Type III$_1$

Toshihiko Masuda

doi:10.4171/prims/56-2-4

JournalsprimsVol. 56, No. 2pp. 391–400

On the Relative Bicentralizer Flows and the Relative Flow of Weights of Inclusions of Factors of Type III $_{1}$

Toshihiko Masuda
Kyushu University, Fukuoka, Japan

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Abstract

We show that 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 III $_{1}$ .

Cite this article

Toshihiko Masuda, On the Relative Bicentralizer Flows and the Relative Flow of Weights of Inclusions of Factors of Type III $_{1}$ . Publ. Res. Inst. Math. Sci. 56 (2020), no. 2, pp. 391–400

DOI 10.4171/PRIMS/56-2-4