The tight groupoid of an inverse semigroup

被引：40

作者：

Exel, Ruy ^{[1
]}

Pardo, Enrique ^{[2
]}

机构：

[1] Univ Fed Santa Catarina, Dept Matemat, BR-88010970 Florianopolis, SC, Brazil

[2] Univ Cadiz, Fac Ciencias, Dept Matemat, Campus Puerto Real, Puerto Real 11510, Cadiz, Spain

来源：

SEMIGROUP FORUM | 2016年 / 92卷 / 01期

关键词：

Inverse semigroup; Semi-lattice; Tight character; Tight filter; Ultra-filter; Groupoid; Groupoid C*-algebra; C-ASTERISK-ALGEBRAS; ETALE GROUPOIDS; CONSTRUCTION;

D O I：

10.1007/s00233-015-9758-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we present algebraic conditions on an inverse semigroup (with zero) which imply that its associated tight groupoid is: Hausdorff, essentially principal, minimal and contracting, respectively. In some cases these conditions are in fact necessary and sufficient.

引用

页码：274 / 303

页数：30

共 25 条

[1] Purely infinite C*-algebras arising from dynamical systems [J].

AnantharamanDelaroche, C .

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1997, 125 (02) :199-225

[2]

[Anonymous], 1998, World Scientific, DOI DOI 10.1142/3645

[3] Simplicity of algebras associated to ,tale groupoids [J].

Brown, Jonathan ;

Clark, Lisa Orloff ;

Farthing, Cynthia ;

Sims, Aidan .

SEMIGROUP FORUM, 2014, 88 (02) :433-452

[4] Semigroupoid C*-algebras [J].

Exel, R. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 377 (01) :303-318

[5] NON-HAUSDORFF ETALE GROUPOIDS [J].

Exel, R. .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139 (03) :897-907

[6]

Exel R., 2013, ARXIV13036268MATHOA

[7]

Exel R., 2013, ARXIV13071120MATHOA

[8]

Exel R., SELF SIMILAR GRAPHS

[9]

Exel R., 2014, PARTIAL DYNAMICAL SY

[10] Inverse semigroups and combinatorial C*-algebras [J].

Exel, Ruy .

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2008, 39 (02) :191-313

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