Extensions of C-*-algebras and quasidiagonality

被引:37
作者
Brown, LG
Dadarlat, M
机构
[1] Department of Mathematics, Purdue University, West Lafayette
来源
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 1996年 / 53卷
基金
美国国家科学基金会;
关键词
D O I
10.1112/jlms/53.3.582
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Using extension theory and recent results of Elliott and Gong wt exhibit new classes of nuclear stably finite C*-algebras, which have real rank zero and stable rank one, and are classified by K-theoretical data. Various concepts of quasidiagonality art employed to show that these C*-algebras are not inductive limits of(sub)homogeneous C*-algebras.
引用
收藏
页码:582 / 600
页数:19
相关论文
共 51 条
[1]   NOTES ON EXTENSIONS OF CSTAR-ALGEBRAS [J].
ARVESON, W .
DUKE MATHEMATICAL JOURNAL, 1977, 44 (02) :329-355
[2]   THE REAL RANK OF INDUCTIVE LIMIT C-ASTERISK-ALGEBRAS [J].
BLACKADAR, B ;
DADARLAT, M ;
RORDAM, M .
MATHEMATICA SCANDINAVICA, 1991, 69 (02) :211-216
[3]   REDUCTION OF REAL RANK IN INDUCTIVE LIMITS OF C-ALGEBRAS [J].
BLACKADAR, B ;
BRATTELI, O ;
ELLIOTT, GA ;
KUMJIAN, A .
MATHEMATISCHE ANNALEN, 1992, 292 (01) :111-126
[4]  
BLACKADAR B, 1986, K THEORY OPERATORY A
[5]  
BLACKADAR B, 1993, RES NOTES MATH, P11
[6]  
BRATTELI O, 1972, T AM MATH SOC, V171, P195
[7]   OPERATOR ALGEBRAS AND ALGEBRAIC K-THEORY [J].
BROWN, LG .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 81 (06) :1119-1121
[8]   C-STAR-ALGEBRAS OF REAL RANK ZERO [J].
BROWN, LG ;
PEDERSEN, GK .
JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 99 (01) :131-149
[9]   EXTENSIONS OF CSTAR-ALGEBRAS AND K-HOMOLOGY [J].
BROWN, LG ;
DOUGLAS, RG ;
FILLMORE, PA .
ANNALS OF MATHEMATICS, 1977, 105 (02) :265-324
[10]  
BROWN LG, 1982, P S PURE MATH, V38