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

George A. Elliott; Guihua Gong; Huaxin Lin; Zhuang Niu

doi:10.4171/jncg/367

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