An excision theorem for the K-theory of C*-algebras, with applications to groupoid C*-algebras

被引：4
|
作者：
Putnam, Ian F. [1 ]
机构：
[1] Univ Victoria, Dept Math & Stat, Victoria, BC, Canada
来源：
MUENSTER JOURNAL OF MATHEMATICS | 2021年 / 14卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.17879/06089647453
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss the relative K-theory for a C*-algebra A, together with a C*-sub-algebra A' subset of A. The relative group is denoted Ki(A'; A), i = 0,1, and is due to Karoubi. We present a situation where two pairs A' subset of A and B' subset of B are related so that there is a natural isomorphism between their respective relative K-theories. We also discuss applications to the case where A and B are C*-algebras of a pair of locally compact, Hausdorff topological groupoids, with Haar systems.
引用
收藏
页码：349 / 402
页数：54
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