Finite generation in C*-algebras and Hilbert C*-modules

被引：5
|
作者：
Blecher, David P. [1 ]
Kania, Tomasz [2 ,3 ]
机构：
[1] Univ Houston, Dept Math, Houston, TX 77204 USA
[2] Polish Acad Sci, Inst Math, PL-00656 Warsaw, Poland
[3] Univ Lancaster, Fylde Coll, Dept Math & Stat, Lancaster LA1 4YF, England
来源：
STUDIA MATHEMATICA | 2014年 / 224卷 / 02期
基金：
美国国家科学基金会;
关键词：
Hilbert module; C*-module; finitely generated ideal; algebraically finitely generated; maximal ideal; C*-algebra; Dales-Zelazko conjecture; SUBMODULES;
D O I：
10.4064/sm224-2-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize C*-algebras and C*-modules such that every maximal right ideal (resp. right submodule) is algebraically finitely generated. In particular, C*-algebras satisfy the Dales-Zelazko conjecture.
引用
收藏
页码：143 / 151
页数：9
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