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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72061This 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.Operator AlgebrasPrimary 46L54, Secondary 46L30, 46L35Free quasi-free states and factors of type III (after D. Shlyakhtenko)text