The aim of the paper is to prove that the
-algebra of all (closed
densely de ned linear) operators a liated 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.
affiliation:
Wydział Matematyki i Informatyki : Instytut Matematyki