Free quasi-free states and factors of type III (after D. Shlyakhtenko)

2004/07/30 by Stefaan Vaes
Mathematics · #math.OA #msc:46L54 #msc:46L30 #msc:46L35

paper · pdf

published as Asterisque 299 (2005), 329--350.

arxiv created 2004/07/30 · arxiv updated 2009/12/01

Abstract

This is a survey paper on the work of D. Shlyakhtenko on free Araki-Woods factors. The paper was written (in French) on the occasion of the Bourbaki seminar. Our original contribution consists in computing the tau invariant for arbitrary free Araki-Woods factors.

Related

• Free Araki-Woods factors and Connes' bicentralizer problem
• On the Classification of Full Factors of Type III
• On some free products of von Neumann algebras which are free Araki-Woods factors
• Asymptotic structure of free Araki-Woods factors
• On multiplicity and free absorption for free Araki-Woods factors