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arXiv · 1307.4696

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

Piotr Niemiec·Adam Wegert
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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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Piotr Niemiec, Adam Wegert. 2013-07-17. Algebra of operators affiliated with a finite type I von Neumann algebra. https://doi.org/10.4467/20843828am.16.005.5377

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