On the classification of simple amenable -algebras with finite decomposition rank, II
George A. Elliott
University of Toronto, Toronto, CanadaGuihua Gong
University of Puerto Rico, San Juan, USAHuaxin Lin
East China Normal University, Shanghai, P. R. China; University of Oregon, Eugene, USA; Shanghai Institute of Mathematics and Interdisciplinary Sciences, Shanghai, P. R. ChinaZhuang Niu
University of Wyoming, Laramie, USA

Abstract
We prove that every unital simple separable -algebra with finite decomposition rank which satisfies the UCT has the property that has generalized tracial rank at most one, where is the universal UHF-algebra. Consequently, is classifiable in the sense of Elliott.
Cite this article
George A. Elliott, Guihua Gong, Huaxin Lin, Zhuang Niu, On the classification of simple amenable -algebras with finite decomposition rank, II. J. Noncommut. Geom. 19 (2025), no. 1, pp. 73–104
DOI 10.4171/JNCG/560