Semisimplicity and Global Dimension of a Finite von Neumann Algebra
نویسنده
چکیده
We prove that a finite von Neumann algebra A is semisimple if the algebra of affiliated operators U of A is semisimple. When A is not semisimple, we give the upper and lower bounds for the global dimensions of A and U . This last result requires the use of the Continuum Hypothesis.
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