Transactions of the American Mathematical Society

Author(s): Dimitri Shlyakhtenko
Journal: Trans. Amer. Math. Soc. 356 (2004), 4143-4159.
MSC (2000): Primary 46L10; Secondary 46L54
Posted: April 16, 2004
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Abstract: We introduce a new invariant $\mathscr{S}(M)$ for type III factors

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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