A Theory of Dimension
Roberto Longo, John E. Roberts
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.
Create a lesson
Related papers
Hilbert norms for graded algebras
Joachim Kupsch, Oleg G. Smolyanov
Equivariance and Imprimitivity for Discrete Hopf C*-Coactions
S. Kaliszewski, John Quigg
Distributional Asymptotic Expansions of Spectral Functions and of the Associated Green Kernels
R. Estrada, S. A. Fulling
On a class of stochastic differential equations used in quantum optics
Alberto Barchielli, Fabio Zucca
Cuntz-Krieger algebras for infinite matrices
Ruy Exel, Marcelo Laca
C*-Crossed Products by Twisted Inverse Semigroup Actions
Nandor Sieben