ONE-PARAMETER CONTINUOUS FIELDS OF KIRCHBERG ALGEBRAS WITH RATIONAL K-THEORY

被引：2

作者：

Bentmann, Rasmus ^{[1
]}

Dadarlat, Marius ^{[2
]}

机构：

[1] Univ Gottingen, Math Inst, D-37073 Gottingen, Germany

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 08期

基金：

新加坡国家研究基金会;

关键词：

Kirchberg algebras; continuous fields; K-theory; C-ASTERISK-ALGEBRAS;

D O I：

10.1090/proc12742

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that separable continuous fields over the unit interval whose fibers are stable Kirchberg algebras that satisfy the universal coefficient theorem in KK-theory (UCT) and have rational K-theory groups are classified up to isomorphism by filtrated K-theory.

引用

页码：3455 / 3463

页数：9

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