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

Piotr Niemiec,

Adam Wegert

Abstrakt

The aim of the paper is to prove that the -algebra of all (closed densely de ned linear) operators aliated with a nite 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.

Słowa kluczowe: Finite type I von Neumann algebra, operator affiliated with a von Neumann algebra, center-valued trace
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