Prime type III factors.
basic_science · Level V
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- Record sourced from PubMed, PMID 11058159.
- Also identified by PMC identifier 18781.
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Abstract
It is shown 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.