TWISTED TOPOLOGICAL GRAPH ALGEBRAS

被引：0
|
作者：
Li, Hui [1 ]
机构：
[1] East China Normal Univ, Res Ctr Operator Algebras, Dept Math, 500 Dongchuan Rd, Shanghai 200241, Peoples R China
来源：
HOUSTON JOURNAL OF MATHEMATICS | 2017年 / 43卷 / 02期
关键词：
C*-algebra; C*-correspondence; topological graph; sheaf cohomology; Cuntz-Pimsner algebra; C-ASTERISK-ALGEBRAS; CUNTZ-KRIEGER ALGEBRAS; GROUPOIDS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define the notion of a twisted topological graph algebra associated to a topological graph and a 1-cocycle on its edge set. We prove a stronger version of a Vasselli's result. We expand Katsura's results to study twisted topological graph algebras. We prove a version of the Cuntz-Krieger uniqueness theorem, describe the gauge-invariant ideal structure. We find that a twisted topological graph algebra is simple if and only if the corresponding untwisted one is simple.
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页码：459 / 494
页数：36
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