Grading of a Semigroup C*-Algebra by a Local Group

被引：0
|
作者：
Grigoryan, S. A. [1 ]
Sharafutdinov, A. Sh. [1 ]
机构：
[1] Kazan State Power Engn Univ, Kazan 420066, Russia
来源：
RUSSIAN MATHEMATICS | 2023年 / 67卷 / 07期
关键词：
semigroup C*-algebra; local group; Fell bundle; partial representation;
D O I：
10.3103/S1066369X23070022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper by a local group of the semigroup C*-algebra generated by the free product ofAbelian semigroups is considered. The simplest of these algebras is the Cuntz-Toeplitz algebra TOn .For such algebras, an abstract version of the Fourier series by the local group is constructed. A numberof properties of the "harmonics" of this series are given.
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页码：72 / 76
页数：5
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