Geodesic
REMARKS ON ${\mathcal{Z}}$-STABLE PROJECTIONLESS C*-ALGEBRAS
Glasgow mathematical journal, Tome 58 (2016) no. 2, pp. 273-277

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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. 
ROBERT, LEONEL. REMARKS ON ${\mathcal{Z}}$-STABLE PROJECTIONLESS C*-ALGEBRAS. Glasgow mathematical journal, Tome 58 (2016) no. 2, pp. 273-277. doi: 10.1017/S0017089515000117
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     author = {ROBERT, LEONEL},
     title = {REMARKS {ON} ${\mathcal{Z}}${-STABLE} {PROJECTIONLESS} {C*-ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {273--277},
     year = {2016},
     volume = {58},
     number = {2},
     doi = {10.1017/S0017089515000117},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089515000117/}
}
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