Mathematics – Operator Algebras
Scientific paper
1996-04-17
K-Theory 11 1997, 103-159
Mathematics
Operator Algebras
AMS-TeX
Scientific paper
In which a theory of dimension related to the Jones index and based on the notion of conjugation is developed. An elementary proof of the additivity and multiplicativity of the dimension is given and there is an associated trace. Applications are given to a class of endomorphisms of factors and to the theory of subfactors. An important role is played by a notion of amenability inspired by the work of Popa.
Longo Roberto
Roberts John E.
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