On the Relative Bicentralizer Flows and the Relative Flow of Weights of Inclusions of Factors of Type III1_1

  • Toshihiko Masuda

    Kyushu University, Fukuoka, Japan
On the Relative Bicentralizer Flows and the Relative Flow of Weights of Inclusions of Factors of Type III$_1$ cover
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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 fi nite index, or an irreducible discrete inclusion whose small algebra is an injective factor of type III1_1.

Cite this article

Toshihiko Masuda, On the Relative Bicentralizer Flows and the Relative Flow of Weights of Inclusions of Factors of Type III1_1. Publ. Res. Inst. Math. Sci. 56 (2020), no. 2, pp. 391–400

DOI 10.4171/PRIMS/56-2-4