On the Classification of Full Factors of Type III

Simple item page
dc.creatorShlyakhtenko, Dimitri
dc.date2002-01-01
dc.date.accessioned2026-07-07T04:45:38Z
dc.date.available2026-07-07T04:45:38Z
dc.descriptionWe introduce a new invariant \mathcal{S}(M) for type III factors M with no almost-periodic weights. We compute this invariant for certain free Araki-Woods factors. We show that Connes' invariant τcannot distinguish all isomorphism classes of free Araki-Woods factors. We show that there exists a continuum of mutually non-isomorphic free Araki-Woods factors, each without almost-periodic weights.
dc.identifierhttps://arxiv.org/abs/math/0201007
dc.identifierhttp://arxiv.org/abs/math/0201007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63024
dc.subjectOperator Algebras
dc.subject46L10; 46L54
dc.titleOn the Classification of Full Factors of Type III
dc.typetext

Files

Collections

arXiv