Finite sums of commutators
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Abstract:
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.References
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Additional Information
- Ciprian Pop
- Affiliation: I.M.A.R., CP 1–764, Bucharest, Romania
- Address at time of publication: Department of Mathematics, Texas A&M University, College Station, Texas 77843–3368
- Email: cpop@math.tamu.edu
- Received by editor(s): February 20, 2001
- Received by editor(s) in revised form: May 29, 2001
- Published electronically: March 14, 2002
- Communicated by: David R. Larson
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3039-3041
- MSC (2000): Primary 46L05
- DOI: https://doi.org/10.1090/S0002-9939-02-06484-5
- MathSciNet review: 1908928