Continuous fields of Kirchberg C*-algebras

被引：10

作者：

Dadarlat, M

Pasnicu, C

机构：

[1] Univ Puerto Rico, Dept Math, Rio Piedras, PR 00931 USA

[2] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2005年 / 226卷 / 02期

基金：

美国国家科学基金会;

关键词：

C*-algebra; continuous field of C*-algebras; Kirchberg algebra; K-theory;

D O I：

10.1016/j.jfa.2005.01.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the C*-algebras associated to continuous fields over locally compact metrizable zero-dimensional spaces whose fibers are Kirchberg C*-algebras satisfying the UCT. We show that these algebras are inductive limits of finite direct sums of Kirchberg algebras and they are classified up to isomorphism by topological invariants. (c) 2005 Elsevier Inc. All rights reserved.

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页码：429 / 451

页数：23

相关论文

共 22 条

[1] Non-simple purely infinite C*-algebras:: the Hausdorff case [J].

Blanchard, E ;

Kirchberg, E .

JOURNAL OF FUNCTIONAL ANALYSIS, 2004, 207 (02) :461-513

[2] K-THEORY FOR CERTAIN C-STAR-ALGEBRAS [J].

CUNTZ, J .

ANNALS OF MATHEMATICS, 1981, 113 (01) :181-197

[3] The Bockstein map is necessary [J].

Dadarlat, M ;

Eilers, S .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1999, 42 (03) :274-284

[4]

Dadarlat M, 2003, OPERATOR ALGEBRAS AND MATHEMATICAL PHYSICS, CONFERENCE PROCEEDINGS, P65

[5] On the classification of nuclear C*-algebras [J].

Dadarlat, M ;

Eilers, S .

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2002, 85 :168-210

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

Dadarlat, M ;

Loring, TA .

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

[7] 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

[8]

Dixmier J., 1982, C*-algebras

[9] ON THE CLASSIFICATION OF C-ASTERISK-ALGEBRAS OF REAL RANK ZERO [J].

ELLIOTT, GA .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1993, 443 :179-219

[10] THE STRUCTURE OF ALGEBRAS OF OPERATOR FIELDS [J].

FELL, JMG .

ACTA MATHEMATICA, 1961, 106 (3-4) :233-280