JournalsjncgVol. 14, No. 1pp. 251–347

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

  • George A. Elliott

    University of Toronto, Canada

  • Guihua Gong

    Universidad de Puerto Rico, San Juan, Puerto Rico and Hebei Normal University, Shijiazhuang, China

  • Huaxin Lin

    University of Oregon, Eugene, USA and East China Normal University, Shanghai, China

  • Zhuang Niu

    University of Wyoming, Laramie, USA
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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. 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.

Cite this article

George A. Elliott, Guihua Gong, Huaxin Lin, Zhuang Niu, Simple stably projectionless C*-algebras with generalized tracial rank one. J. Noncommut. Geom. 14 (2020), no. 1, pp. 251–347

DOI 10.4171/JNCG/367