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

被引：1
|
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.
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页码：3455 / 3463
页数：9
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