Extensions of C-*-algebras and quasidiagonality

被引：36

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

页码：582 / 600

页数：19

共 51 条

[1] NOTES ON EXTENSIONS OF CSTAR-ALGEBRAS
ARVESON, W
[J]. DUKE MATHEMATICAL JOURNAL, 1977, 44 (02) : 329 - 355
[2] THE REAL RANK OF INDUCTIVE LIMIT C-ASTERISK-ALGEBRAS
BLACKADAR, B
DADARLAT, M
RORDAM, M
[J]. MATHEMATICA SCANDINAVICA, 1991, 69 (02) : 211 - 216
[3] REDUCTION OF REAL RANK IN INDUCTIVE LIMITS OF C-ALGEBRAS
BLACKADAR, B
BRATTELI, O
ELLIOTT, GA
KUMJIAN, A
[J]. 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
BROWN, LG
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 81 (06) : 1119 - 1121
[8] C-STAR-ALGEBRAS OF REAL RANK ZERO
BROWN, LG
PEDERSEN, GK
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 99 (01) : 131 - 149
[9] EXTENSIONS OF CSTAR-ALGEBRAS AND K-HOMOLOGY
BROWN, LG
DOUGLAS, RG
FILLMORE, PA
[J]. ANNALS OF MATHEMATICS, 1977, 105 (02) : 265 - 324
[10] BROWN LG, 1982, P S PURE MATH, V38

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