K-theory for banach *-algebras

被引：0

作者：

Laustsen, NJ ^{[1
]}

机构：

[1] Univ Copenhagen, Dept Math, DK-2100 Copenhagen O, Denmark

来源：

BANACH ALGEBRAS AND THEIR APPLICATIONS | 2004年 / 363卷

关键词：

K-theory; Banach *-algebra;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

There are two ways to define the K-0-group of a Banach *-algebra, one based on idempotents and algebraic equivalence and another based on projections and Murray-von Neumann equivalence. We show that these two K-0-groups are not in general isomorphic. There are also two ways to define the K-1-group of a Banach *-algebra, one based on homotopy of invertibles and another based on homotopy of unitaries. Again, we show that these two K-1-groups need not be isomorphic.

引用

页码：213 / 221

页数：9