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 , Guihua Gong , Huaxin Lin , Zhuang Niu 
|
Journal Info |
European Mathematical Society | Journal of Noncommutative Geometry
|
Publication Date |
6/14/2024 |
ISSN |
1661-6952 |
Type |
article |
Open Access |
gold
|
DOI |
https://doi.org/10.4171/jncg/560 |
Keywords |
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)
|