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18th International Conference on Operator Theory
June 27 - July 1, 2000
University of the West
Timisoara, Romania

Organizers
Dumitru Gaspar, Traian Ceausu, Aurelian Craciunescu, Aurelian Gheondea, Radu-Nicolae Gologan, Ciprian Pop, Dan Popovici, Nicolae Suciu, Alexandru Terescenco, Dan Timotin, Flavius Turcu

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Finite sums of commutators
by
Ciprian Pop
IMAR, Romania

Let A be an unital C*-algebra which has no tracial states. We prove that every element of A can be expressed as a finite sum of commutators of elements of A. Moreover, the number of commutators involved is bounded and it depends only on the chosen C*-algebra.

Date received: June 9, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeo-59.