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Non-Hausdorff symmetries of C*-algebras |
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| Authors: | Alcides?Buss,Ralf?Meyer mailto:rameyer@uni-math.gwdg.de" title=" rameyer@uni-math.gwdg.de" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Chenchang?Zhu |
| Affiliation: | 1.Departamento de Matemática,Universidade Federal de Santa Catarina,Florianópolis,Brazil;2.Mathematisches Institut and Courant Research Centre “Higher Order Structures”,Georg-August-Universit?t G?ttingen,G?ttingen,Germany;3.Courant Research Centre “Higher Order Structures”,Georg-August-Universit?t G?ttingen,G?ttingen,Germany |
| Abstract: | 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. |
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