On the Range of Certain ASH Algebras of Real Rank Zero

被引：0

作者：

An, Qingnan ^{[1
]}

Liu, Zhichao ^{[2
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2023年 / 44卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Classification; AD algebra; Range; Reduction; C-ASTERISK-ALGEBRAS; INDUCTIVE LIMITS; CLASSIFICATION; TORSION; THEOREM;

D O I：

10.1007/s11401-023-0014-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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].

引用

页码：279 / 288

页数：10

共 26 条

[1]

Elliott GA, 2016, Arxiv, DOI arXiv:1507.03437

[2] The classification of certain ASH C*-algebras of real rank zero [J].

An, Qingnan ;

Elliott, George A. ;

Li, Zhiqiang ;

Liu, Zhichao .

JOURNAL OF TOPOLOGY AND ANALYSIS, 2022, 14 (01) :183-202

[3] ON THE KK-THEORY OF ELLIOTT-THOMSEN ALGEBRAS [J].

An, Qingnan ;

Elliott, George A. .

JOURNAL OF OPERATOR THEORY, 2017, 78 (02) :435-472

[4]

Blackadar B, 2016, MATH SCAND, V118, P291

[5]

BRATTELI O, 1972, T AM MATH SOC, V171, P195

[6] A classification result for approximately homogeneous C*-algebras of real rank zero [J].

Dadarlat, M ;

Gong, G .

GEOMETRIC AND FUNCTIONAL ANALYSIS, 1997, 7 (04) :646-711

[7] Classifying C*-algebras via ordered, mod-p K-theory [J].

Dadarlat, M ;

Loring, TA .

MATHEMATISCHE ANNALEN, 1996, 305 (04) :601-616

[8]

Dixmier J., 1967, Journal of Functional Analysis, V1, P182, DOI DOI 10.1016/0022-1236(67)90031-6

[9] DIMENSION GROUPS AND THEIR AFFINE REPRESENTATIONS [J].

EFFROS, EG ;

HANDELMAN, DE ;

SHEN, CL .

AMERICAN JOURNAL OF MATHEMATICS, 1980, 102 (02) :385-407

[10] A complete invariant for AD algebras with real rank zero and bounded torsion in K-1 [J].

Eilers, S .

JOURNAL OF FUNCTIONAL ANALYSIS, 1996, 139 (02) :325-348

← 1 2 3 →