Prime type III factors.
نویسنده
چکیده
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.
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عنوان ژورنال:
- Proceedings of the National Academy of Sciences of the United States of America
دوره 97 23 شماره
صفحات -
تاریخ انتشار 2000