Operator spaces and Araki-Woods factors --A quantum probabilistic approach--
Operator Algebras
2007-05-23 v3 Functional Analysis
Abstract
We show that the operator Hilbert space OH introduced by Pisier embeds into the predual of the hyerfinite III1 factor. The main new tool is a Khintchine type inequality for the generators of the CAR algebra with respect to a quasi-free state. Our approach yields a Khintchine type inequality for the q-gaussian variables for all values q between -1 and 1. These results are closely related to recent results of Pisier and Shlyakhtenko in the free case.
Cite
@article{arxiv.math/0504255,
title = {Operator spaces and Araki-Woods factors --A quantum probabilistic approach--},
author = {Marius Junge},
journal= {arXiv preprint arXiv:math/0504255},
year = {2007}
}