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

共 50 条

[21] An inverse semigroup approach to the C*-algebras and crossed products of cancellative semigroups
Aukhadiev, Marat
JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2018, 12 (02) : 693 - 731
[22] Amenability of banach and C*-algebras generated by unitary representations
Stokke, Ross
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (04) : 1477 - 1487
[23] NIL RIGHT IDEALS IN INVERSE SEMIGROUP ALGEBRAS
MUNN, WD
SEMIGROUP FORUM, 1992, 44 (01) : 93 - 95
[24] A groupoid approach to discrete inverse semigroup algebras
Steinberg, Benjamin
ADVANCES IN MATHEMATICS, 2010, 223 (02) : 689 - 727
[25] Simplicity of inverse semigroup and etale groupoid algebras
Steinberg, Benjamin
Szakacs, Nora
ADVANCES IN MATHEMATICS, 2021, 380
[26] APPROXIMATE AMENABILITY OF CERTAIN INVERSE SEMIGROUP ALGEBRAS
Mehdi ROSTAMI
Abdolrasoul POURABBAS
Morteza ESSMAILI
ActaMathematicaScientia, 2013, 33 (02) : 565 - 577
[27] Super module amenability of inverse semigroup algebras
Bami, M. Lashkarizadeh
Valaei, M.
Amini, M.
SEMIGROUP FORUM, 2013, 86 (02) : 279 - 288
[28] Super module amenability of inverse semigroup algebras
M. Lashkarizadeh Bami
M. Valaei
M. Amini
Semigroup Forum, 2013, 86 : 279 - 288
[29] Higher-Rank Graph C *-Algebras: An Inverse Semigroup and Groupoid Approach
Cynthia Farthing
Paul S. Muhly
Trent Yeend
Semigroup Forum, 2005, 71 : 159 - 187
[30] MODULE COHOMOLOGY GROUP OF INVERSE SEMIGROUP ALGEBRAS
Nasrabadi, E.
Pourabbas, A.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2011, 37 (04): : 157 - 169

← 1 2 3 4 5 →