Prime Type III Factors
Operator Algebras
2009-10-31 v1
Abstract
We show that for each (0<\lambda <1), the free Araki-Woods factor of type III(_{\lambda}) cannot be written as a tensor product of two diffuse von Neumann algebras (i.e., is prime), and does not contain a Cartan subalgebra.
Cite
@article{arxiv.math/0008146,
title = {Prime Type III Factors},
author = {Dimitri Shlyakhtenko},
journal= {arXiv preprint arXiv:math/0008146},
year = {2009}
}