Prime Type III Factors
classification
🧮 math.OA
keywords
lambdaprimetypealgebrasaraki-woodscannotcartancontain
read the original abstract
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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