On the Classification of Full Factors of Type III

2002/01/01 by Dimitri Shlyakhtenko, Shlyakhtenko, Dimitri
Mathematics · #46L10 #46L54 #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:46L10 #msc:46L54

paper · pdf · doi:10.48550/arxiv.math/0201007

arxiv created 2002/01/01 · arxiv updated 2009/11/30

Abstract

We introduce a new invariant 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.

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