Non-Hausdorff Symmetries of C*-algebras

Details Non-Hausdorff Symmetries of C*-algebras Non-Hausdorff Symmetries of C*-algebras

2009-07-02

arxiv.org/abs/0907.0339v2

Mathematics

Operator Algebras

very minor changes. To appear in Math. Ann

Scientific paper

10.1007/s00208-010-0630-3

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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