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| On the Range of Certain ASH Algebras of Real Rank Zero* |
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Citation： |
Qingnan AN1,Zhichao LIU.On the Range of Certain ASH Algebras of Real Rank Zero*[J].Chinese Annals of Mathematics B,2023,44(2):279~288 |
| Page view： 636
Net amount： 569 |
Authors： |
Qingnan AN1; Zhichao LIU |
Foundation： |
National Natural Science Foundation of China (Nos. 12101113,12101102, 11920101001) and the Fundamental Research Funds for the Central Universities (Nos. 2412021QD001, DUT20RC(3)064). |
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| Abstract： |
In this paper, the authors consider the range of a certain class of ASH algebras in [An, Q., Elliott, G. A., Li, Z. and Liu, Z., The classification of certain ASH C*-algebras of real rank zero, J. Topol. Anal., 14(1), 2022, 183–202], which is under the scheme of the Elliott program in the setting of real rank zero C*-algebras. As a reduction theorem, they prove that all these ASH algebras are still the AD algebras studied in [Dadarlat, M. and Loring, T. A., Classifying C-algebras via ordered, mod-p K-theory, Math. Ann., 305,1996, 601–616]. |
Keywords： |
Classification, AD algebra, Range, Reduction |
Classification： |
46L35, 46L80, 19K35 |
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