Algebra of operators affiliated with a finite type I von Neumann algebra
Operator Algebras
2017-05-26 v1
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.
Keywords
Cite
@article{arxiv.1307.4696,
title = {Algebra of operators affiliated with a finite type I von Neumann algebra},
author = {Piotr Niemiec and Adam Wegert},
journal= {arXiv preprint arXiv:1307.4696},
year = {2017}
}
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14 pages