Open AccessThe Flow of Weights in Subfactor Theory
Author(s) -
Carl Winsløw
Publication year - 1995
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1195164052
Subject(s) - mathematics , invariant (physics) , pure mathematics , flow (mathematics) , type (biology) , algebra over a field , mathematical physics , geometry , geology , paleontology
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.
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