A Theory of Dimension
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.
 Publication:

arXiv eprints
 Pub Date:
 April 1996
 arXiv:
 arXiv:functan/9604008
 Bibcode:
 1996funct.an..4008L
 Keywords:

 Mathematics  Functional Analysis;
 Mathematics  Operator Algebras;
 46Lxx
 EPrint:
 AMSTeX