On single commutators in II_1-factors

Details On single commutators in II_1-factors On single commutators in II_1-factors

2010-07-10

arxiv.org/abs/1007.1701v3

Mathematics

Operator Algebras

10 pages. version 2 modifies somewhat the discussion of Tucci's operators and corrects some minor mistakes. It will appear in

Scientific paper

We investigate the question of whether all elements of trace zero in a
II_1-factor are single commutators. We show that all nilpotent elements are
single commutators, as are all normal elements of trace zero whose spectral
distributions are discrete measures. Some other classes of examples are
considered.

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