Algebra of operators affiliated with a finite type I von Neumann algebra

Published 17 Jul 2013 in math.OA | (1307.4696v1)

Abstract: It is shown that the *-algebra of all (closed densely defined linear) operators affiliated with a finite type I von Neumann algebra admits a unique center-valued trace, which turns out to be, in a sense, normal. It is also demonstrated that for no other von Neumann algebras similar constructions can be performed.

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