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COMMUTATORS IN THE JIANG–SU ALGEBRA

P. W. NG

Department of Mathematics, University of Louisiana at Lafayette, 217 Maxim D. Doucet Hall, P. O. Box 41010, Lafayette, Louisiana, 70504-1010, USA

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https://doi.org/10.1142/S0129167X12501133Cited by:1 (Source: Crossref)

Abstract

Let be the Jiang–Su algebra and let τ be its unique tracial state. We prove that for all , the following statements are equivalent:

(1) a is a finite sum of commutators.

(2) a is a sum of five commutators.

(3) τ(a) = 0.

Keywords:

AMSC: 46L05, 46L35

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