Limits of homomorphisms with finite-dimensional range

被引：10

作者：

Hu, SW ^{[1
]}

Lin, HX

Xue, YF

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[2] Univ Oregon, Dept Math, Eugene, OR 97403 USA

[3] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2005年 / 16卷 / 07期

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

homomorphisms; approximation;

D O I：

10.1142/S0129167X05003089

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a compact metric space and A be a unital simple C*-algebra with TR (A) = 0. Suppose that phi : C(X) -> A is a unital monomorphism. We study the problem when phi can be approximated by homomorphisms with finite-dimensional range. We give a K-theoretical necessary and sufficient condition for phi being approximated by homomorphisms with finite-dimensional range.

引用

页码：807 / 821

页数：15

共 21 条

[1] C-STAR-ALGEBRAS OF REAL RANK ZERO [J].

BROWN, LG ;

PEDERSEN, GK .

JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 99 (01) :131-149

[2] EXTENSIONS OF CSTAR-ALGEBRAS AND K-HOMOLOGY [J].

BROWN, LG ;

DOUGLAS, RG ;

FILLMORE, PA .

ANNALS OF MATHEMATICS, 1977, 105 (02) :265-324

[3]

BROWN LG, 1973, SPRINGER LECT NOTES, V345, P56

[4]

DADARLAT M, 1992, J REINE ANGEW MATH, V432, P39

[5] A universal multicoefficient theorem for the Kasparov groups [J].

Dadarlat, M ;

Loring, TA .

DUKE MATHEMATICAL JOURNAL, 1996, 84 (02) :355-377

[6]

Dadarlat M., 1995, K-THEORY, V9, P117, DOI DOI 10.1007/BF00961456

[7] AF EMBEDDINGS OF C(T2) WITH A PRESCRIBED K-THEORY [J].

ELLIOTT, GA ;

LORING, TA .

JOURNAL OF FUNCTIONAL ANALYSIS, 1992, 103 (01) :1-25

[8] Abelian C*-subalgebras of C*-algebras of real rank zero and inductive limit C*-algebras [J].

Elliott, GA ;

Gong, GH ;

Lin, HX ;

Pasnicu, C .

DUKE MATHEMATICAL JOURNAL, 1996, 85 (03) :511-554

[9] Classification of homomorphisms from C(X) to simple C*-algebras of real rank zero [J].

Gong, GH ;

Lin, HX .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2000, 16 (02) :181-206

[10]

Lin H., 1995, Fields Inst. Commun, V13, P193

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