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The Identity as a Single Commutator of Affiliated Operators
Let $\M$ be a von Neumann algebra of type $\IIone$, and let $\U(\M)$ be its algebra of affiliated operators. We prove that the identity is a single commutator in $\U(\M)$. This answers a question stated by Kadison and Liu and strengthens the two-commutator theorem of Kadison, Liu and Thom. The two o
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