On a Grading of the Cuntz Algebra

被引：0
|
作者：
S. A. Grigoryan
A. Yu. Kuznetsova
机构：
[1] Kazan State Power Engineering University,
[2] Kazan (Volga region) Federal University,undefined
来源：
Lobachevskii Journal of Mathematics | 2019年 / 40卷
关键词：
local topological group; C*-algebra; partial isometry; partial group representation; Fell bundle; Cuntz algebra;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the paper we introduce the notion of a local group and define a Fell bundle over a local group and a *-representation of a local group into a C*-algebra. We show that with every partial representation of a group the local group is connected as well as the respective Fell bundle. Also we show that the Cuntz and the Cuntz-Toeplitz algebras are local group graded.
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页码：1479 / 1482
页数：3
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