C~*-代数的Cuntz半群(英文)

On Cuntz Semigroups of Certain C~*-algebras

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摘要令A是一个C^＊-代数．设（x，y）是A的Cuntz半群W（A）中的一个元素对．本文在适当的条件下具体刻画了所有的（x，y），使其满足性质：如果x≤y，那么存在z∈W（A）使得x＋z=y,另外，本文还讨论了交换C^＊-代数关于Cuntz比较的一些性质． Let A be a C^＊-algebra. In this paper, we present some necessary and suiffcient conditions for the pair （x, y） of elements in the Cuntz semigroup W（A） of A such that if x ≤ y, then x ＋ z = y for some z ∈ W（A）, in the case of certain C^＊-algebras. In addition, some properties about the Cuntz comparison in commutative C^＊-algebras are obtained.

作者徐小明方小春花家杰

机构地区同济大学数学系

出处《数学进展》 CSCD 北大核心 2012年第3期296-305,共10页 Advances in Mathematics（China）

基金 Supported by NSFC(No.10771161)

关键词 Cuntz半群逼渐单位元 Cuntz比较 Cuntz semigroup approximate unit Cuntz comparison

分类号 O177.5 [理学—基础数学]

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