RELATIVE K-THEORY FOR C∗-ALGEBRAS ∗-ALGEBRAS

被引：0
|
作者：
Haslehurst, Mitch [1 ]
机构：
[1] Univ Victoria, Dept Math & Stat, North Bay, ON, Canada
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2024年 / 54卷 / 04期
关键词：
C *-algebra; K-theory; homology; ALGEBRAS;
D O I：
10.1216/rmj.2024.54.1057
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given C*-algebras A and B and a *-homomorphism phi : A -> B, we adopt the portrait of the relative K-theory K*(phi) due to Karoubi using Banach categories and Banach functors. We show that the elements of the relative groups may be represented in a simple form. We prove the existence of two six-term exact sequences, and we use these sequences to deduce the fact that the relative theory is isomorphic, in a natural way, to the K-theory of the mapping cone.
引用
收藏
页码：1057 / 1085
页数：29
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