Finite sums of commutators

By C. Pop. 2001

55 citations recorded by the source corpus.

We show that elements of unital C*-algebras without tracial states are finite sums of commutators. Moreover, the number of commutators involved is bounded, depending only on the given C*-algebra.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5ceb4e8eaecfbb26c94dec4125ebd70094ce24b0

Citations in the corpus

• The structure of Lie derivations on C*-algebras (2003, unknown): “By Pop [13], there exists an integer pX2 such that every element of A can be expressed as a sum of p commutators.”