C*-ALGEBRAS ASSOCIATED TO C*-CORRESPONDENCES AND APPLICATIONS TO MIRROR QUANTUM SPHERES

被引：3
作者：
Robertson, David [1 ]
Szymanski, Wojciech [2 ]
机构：
[1] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia
[2] Univ Southern Denmark, Dept Math & Comp Sci, DK-5230 Odense M, Denmark
来源：
ILLINOIS JOURNAL OF MATHEMATICS | 2011年 / 55卷 / 03期
关键词：
IDEAL STRUCTURE; NONCOMMUTATIVE BALLS; SIMPLICITY; GRAPHS;
D O I：
10.1215/ijm/1369841788
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The structure of the C*-algebras corresponding to even-dimensional mirror quantum spheres is investigated. It is shown that they are isomorphic to both Cuntz-Pimsner algebras of certain C*-correspondences and C*-algebras of certain labelled graphs. In order to achieve this, categories of labelled graphs and C*-correspondences are studied. A functor from labelled graphs to C*-correspondences is constructed, such that the corresponding associated C*-algebras are isomorphic. Furthermore, it is shown that C*-correspondences for the mirror quantum spheres arise via a general construction of restricted direct sum.
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收藏
页码：845 / 870
页数：26
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