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. A number of structural questions concerning these simple C*-algebras are studied, pertinent to the classification of separable stably projectionless simple amenable Jiang–Su stable C*-algebras.

中文翻译：

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具有广义迹阶的简单稳定无投影C *代数

我们研究了一类稳定的无投影简单C *代数，可以将其视为与单位格类似的广义等级。研究了与这些简单C *代数有关的许多结构性问题，这些问题与可分离的，稳定的，无投影的简单宜人的江苏稳定C *代数的分类有关。