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REMARKS ON ${\mathcal{Z}}$-STABLE PROJECTIONLESS C*-ALGEBRAS

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  21 July 2015

LEONEL ROBERT
LEONEL ROBERT*
Affiliation:
Department of Mathematics, University of Louisiana at Lafayette, 217 Maxim Doucet Hall, 1401 Johnston Street, Lafayette, LA 70504USA e-mail: [email protected]
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Abstract

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It is shown that ${\mathcal{Z}}$-stable projectionless C*-algebras have the property that every element is a limit of products of two nilpotents. This is then used to classify the approximate unitary equivalence classes of positive elements in such C*-algebras using traces.

MSC classification

Primary: 46L05: General theory of $C^*$-algebras
Secondary: 46L35: Classifications of $C^*$-algebras
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 58 , Issue 2 , May 2016 , pp. 273 - 277
Copyright
Copyright © Glasgow Mathematical Journal Trust 2015 

References

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