The Flow of Weights in Subfactor Theory

  • Carl Winsløw

    University of Copenhagen, Denmark


We define a Connes-Takesaki type flow of weights for any inclusion of factors. It is shown that Popa's classification of strongly amenable subfactors as well as some new structural results on type III-subfactors can be stated in a unified way using this invariant. The invariant also separates certain "exotic" examples of subfactors which are not covered by that classification.

Cite this article

Carl Winsløw, The Flow of Weights in Subfactor Theory. Publ. Res. Inst. Math. Sci. 31 (1995), no. 3, pp. 519–532

DOI 10.2977/PRIMS/1195164052