One-Parameter Continuous Fields of Kirchberg Algebras. II

被引：4

作者：

Dadarlat, Marius ^{[1
]}

Elliott, George A. ^{[2
,3
]}

Niu, Zhuang ^{[4
]}

机构：

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

[2] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

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

[4] Mem Univ Newfoundland, Dept Math, St John, NF A1C 5S7, Canada

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2011年 / 63卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

continuous fields of C* -algebras; K(0)-presheaves; Effros-Handelman-Shen type theorem; CLASSIFICATION;

D O I：

10.4153/CJM-2011-001-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Parallel to the first two authors' earlier classification of separable, unital, one-parameter, continuous fields of Kirchberg algebras with torsion free K-groups supported in one dimension, one-parameter, separable, unital, continuous fields of AF-algebras are classified by their ordered K(0)-sheaves. Effros-Handelman-Shen type theorems are proved for separable unital one-parameter continuous fields of AF-algebras and Kirchberg algebras.

引用

页码：500 / 532

页数：33

共 10 条

[1]

[Anonymous], 1977, North-Holland Mathematical Library

[2]

Blanchard E, 2004, J OPERAT THEOR, V52, P385

[3] One-parameter continuous fields of kirchberg algebras [J].