Non-Hausdorff symmetries of C*-algebras

被引：9

作者：

Buss, Alcides ^{[3
]}

Meyer, Ralf ^{[1
,2
]}

Zhu, Chenchang ^{[2
]}

机构：

[1] Univ Gottingen, Inst Math, D-37073 Gottingen, Germany

[2] Univ Gottingen, Courant Res Ctr Higher Order Struct, D-37073 Gottingen, Germany

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

来源：

MATHEMATISCHE ANNALEN | 2012年 / 352卷 / 01期

关键词：

46L55; 18D05;

D O I：

10.1007/s00208-010-0630-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Symmetry groups or groupoids of C*-algebras associated to non-Hausdorff spaces are often non-Hausdorff as well. We describe such symmetries using crossed modules of groupoids. We define actions of crossed modules on C*-algebras and crossed products for such actions, and justify these definitions with some basic general results and examples.

引用

页码：73 / 97

页数：25

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