On the Classification of Full Factors of Type III

@inproceedings{Shlyakhtenko2002OnTC,
  title={On the Classification of Full Factors of Type III},
  author={Dimitri L. Shlyakhtenko},
  year={2002}
}
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. 

References

Publications referenced by this paper.

Similar Papers

Loading similar papers…