Reduced C*-algebras of Fell bundles over inverse semigroups

被引：14

作者：

Buss, Alcides ^{[1
]}

Exel, Ruy ^{[1
]}

Meyer, Ralf ^{[2
]}

机构：

[1] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil

[2] Georg August Univ Gottingen, Math Inst, Bunsenstr 3-5, D-37073 Gottingen, Germany

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2017年 / 220卷 / 01期

关键词：

CARTAN SUBALGEBRAS; IDEAL STRUCTURE; GROUPOIDS; MODULES; REPRESENTATION;

D O I：

10.1007/s11856-017-1516-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a weak conditional expectation from the section C*-algebra of a Fell bundle over a unital inverse semigroup to its unit fibre. We use this to define the reduced C*-algebra of the Fell bundle. We study when the reduced C*-algebra for an inverse semigroup action on a groupoid by partial equivalences coincides with the reduced groupoid C*-algebra of the transformation groupoid, giving both positive results and counterexamples.

引用

页码：225 / 274

页数：50

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