On the Classification of Full Factors of Type III

Details On the Classification of Full Factors of Type III On the Classification of Full Factors of Type III

2002-01-01

arxiv.org/abs/math/0201007v1

Mathematics

Operator Algebras

Scientific paper

We 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 \tau cannot 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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