On the Structure of C*-Algebras Generated by Representations of the Elementary Inverse Semigroup

被引：0

作者：

Grigoryan, S. A. ^{[1
]}

Lipacheva, E. V. ^{[1
]}

机构：

[1] Kazan State Power Engn Univ, Kazan 420066, Russia

来源：

UCHENYE ZAPISKI KAZANSKOGO UNIVERSITETA-SERIYA FIZIKO-MATEMATICHESKIE NAUKI | 2016年 / 158卷 / 02期

关键词：

C*-algebra; Toeplitz algebra; irreducible representation; inverse semigroup; automorphism group; compact quantum semigroup;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The class of C*-algebras generated by the elementary inverse semigroup and being deformations of the Toeplitz algebra has been introduced and studied. The properties of these algebras have been investigated. All their irreducible representations and automorphism groups have been described. These algebras have been proved to be Z-graded C*-algebras. For a certain class of algebras in the family under consideration the compact quantum semigroup structure has been constructed.

引用

页码：180 / 193

页数：14

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