Remarks on Z-stable projectionless C*-algebras
Operator Algebras
2013-12-24 v3
Abstract
It is shown that projectionless C*-algebras that tensorially absorb the Jiang-Su algebra 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.
Keywords
Cite
@article{arxiv.1112.6069,
title = {Remarks on Z-stable projectionless C*-algebras},
author = {Leonel Robert},
journal= {arXiv preprint arXiv:1112.6069},
year = {2013}
}