K-STABILITY OF CONTINUOUS C(X)-ALGEBRAS

被引：2
|
作者：
Seth, Apurva [1 ]
Vaidyanathan, Prahlad [1 ]
机构：
[1] Indian Inst Sci Educ & Res Bhopal, Dept Math, Bhopal Bypass Rd, Bhopal 462066, Madhya Pradesh, India
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 09期
关键词：
Nonstable K-theory; C*-algebras; BUNDLES;
D O I：
10.1090/proc/15035
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A C*-algebra is said to be K-stable if its nonstable K-groups are naturally isomorphic to the usual K-theory groups. We study continuous C(X)-algebras, each of whose fibers are K-stable. We show that such an algebra is itself K-stable under the assumption that the underlying space X is compact, metrizable, and of finite covering dimension.
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页码：3897 / 3909
页数：13
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