A note on commutators in algebras of unbounded operators
classification
🧮 math.OA
keywords
algebracommutatorsoperatorsaffiliatedalgebrasidentitynegativeneumann
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We show that the identity is the sum of two commutators in the algebra of all operators affiliated with a von Neumann algebra of type II$_1$, settling a question, in the negative, that had puzzled a number of us.
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