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, R., Roberts, J.e. (1997). A theory of dimension. K-THEORY, 11(2), 103-159.

A theory of dimension

LONGO, ROBERTO;
1997-01-01

Abstract

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.
1997
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/05 - ANALISI MATEMATICA
English
tensor C*-categories; amenability; subfactors; quantum groups
Longo, R., Roberts, J.e. (1997). A theory of dimension. K-THEORY, 11(2), 103-159.
Longo, R; Roberts, Je
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/54268
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