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.

引用

页码：72 / 76

页数：5

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