Prime Type III Factors
Dimitri Shlyakhtenko
math.OAarXiv:math/0008146
Abstract
We show that for each (0<λ<1), the free Araki-Woods factor of type III(λ) cannot be written as a tensor product of two diffuse von Neumann algebras (i.e., is prime), and does not contain a Cartan subalgebra.
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