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arXiv · 0907.0339

Non-Hausdorff Symmetries of C*-algebras

Alcides Buss·Chenchang Zhu·Ralf Meyer
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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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Alcides Buss, Chenchang Zhu, Ralf Meyer. 2009-12-03. Non-Hausdorff Symmetries of C*-algebras. https://doi.org/10.1007/s00208-010-0630-3

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