Mathematics – Operator Algebras
Scientific paper
2000-08-18
Mathematics
Operator Algebras
Scientific paper
10.1073/pnas.220417397
We show that for each (0<\lambda <1), the free Araki-Woods factor of type
III(_{\lambda}) 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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