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, China; University of Oregon, Eugene, USA; Shanghai Institute of Mathematics and Interdisciplinary Sciences, Shanghai, ChinaZhuang Niu
University of Wyoming, Laramie, USA
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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. (2024), published online first
DOI 10.4171/JNCG/560