Simple stably projectionless C*-algebras with generalized tracial rank one

Abstract

We study a class of stably projectionless simple C*-algebras which may be viewed as having generalized tracial rank one in analogy with the unital case. Some structural question concerning these simple C*-algebras are studied. The paper also serves as a technical support for the classification of separable stably projectionless simple amenable Jiang-Su stable C*-algebras.

This is a part of the merging of arXiv:1611.0440 and arXiv:1611.05159. This minor revision has been submitted. This new revision has been accepted for publication by the Journal of Noncommutative Geometry (Oct. 3rd)

References in corpus (1)

• Classification of finite simple amenable $\mathcal{Z}$-stable $C^{\ast }$-algebras

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• Non-amenable simple C*-algebras with tracial approximation
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