Detailed Record



On the classification of simple amenable C∗-algebras with finite decomposition rank, II


Abstract We prove that every unital simple separable C∗-algebra A with finite decomposition rank which satisfies the UCT has the property that A⊗Q has generalized tracial rank at most one, where Q is the universal UHF-algebra. Consequently, A is classifiable in the sense of Elliott.
Authors George A. Elliott ORCID , Guihua Gong , Huaxin Lin , Zhuang Niu University of WyomingORCID
Journal Info European Mathematical Society | Journal of Noncommutative Geometry
Publication Date 6/14/2024
ISSN 1661-6952
TypeKeyword Image article
Open Access gold Gold Access
DOI https://doi.org/10.4171/jncg/560
KeywordsKeyword Image C*-Algebras (Score: 0.658071) , Quasi-Lie Algebras (Score: 0.564254) , Calabi-Yau Algebras (Score: 0.532643) , Hom-Lie Algebras (Score: 0.518054) , Von Neumann Algebras (Score: 0.517375)