Crossed products of C*-algebras by groupoids and inverse semigroups

被引：0

作者：

Khoshkam, M ^{[1
]}

Skandalis, G

机构：

[1] Univ Saskatchewan, Dept Math & Stat, Saskatoon, SK S7N 0W0, Canada

[2] Univ Paris 07, CNRS, UFR Math, UMR 7586, F-75251 Paris 05, France

来源：

JOURNAL OF OPERATOR THEORY | 2004年 / 51卷 / 02期

关键词：

C*-algebras; groupoids; inverse semigroups; crossed products; covariant representations; Hilbert modules;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a new notion of action of inverse semigroups on C*-algebras. The full and the reduced crossed product of a C*-algebra by an inverse semigroup are developed. This construction unifies several notions of crossed product by inverse semigroups. Moreover, the relation between the crossed product by an inverse semigroup S and by its associated groupoid is investigated.

引用

页码：255 / 279

页数：25

共 19 条

[1]

ANANTHARAMANDEL.C, 2000, MONOGRAPHIES ENSEIGN, V36

[2]

CONNES A, 1982, P SYMP PURE MATH, V38, P521

[3]

Connes A., 1979, LECT NOTES MATH, V725, P19

[4]

Connes A., 1994, NONCOMMUTATIVE GEOME

[5] C-STAR-ALGEBRAS OF INVERSE-SEMIGROUPS [J].

DUNCAN, J ;

PATERSON, ALT .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1985, 28 (FEB) :41-58

[6] CIRCLE-ACTIONS ON C-ASTERISK-ALGEBRAS, PARTIAL AUTOMORPHISMS, AND A GENERALIZED PIMSNER-VOICULESCU EXACT SEQUENCE [J].

EXEL, R .

JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 122 (02) :361-401

[7]

Howie J., 1976, An introduction to semigroup theory

[8] EQUIVARIANT KK-THEORY AND THE NOVIKOV-CONJECTURE [J].

KASPAROV, GG .

INVENTIONES MATHEMATICAE, 1988, 91 (01) :147-201

[9]

Khoshkam M, 2002, J REINE ANGEW MATH, V546, P47

[10] ON LOCALIZATIONS AND SIMPLE CSTAR-ALGEBRAS [J].

KUMJIAN, A .

PACIFIC JOURNAL OF MATHEMATICS, 1984, 112 (01) :141-192

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