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.

引用

页码：3897 / 3909

页数：13

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