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arxiv: 1301.5551 · v4 · pith:6UQ7GYB2new · submitted 2013-01-23 · 🧮 math.GR · math.FA

The diffeomorphism group of a non-compact orbifold

classification 🧮 math.GR math.FA
keywords grouporbifolddiffeomorphismregularalgebraassociatedcharacterizationcompactly
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We endow the diffeomorphism group of a paracompact (reduced) orbifold with the structure of an infinite dimensional Lie group modelled on the space of compactly supported sections of the tangent orbibundle. For a second countable orbifold, we prove that this Lie group is C^0-regular and thus regular in the sense of Milnor. Furthermore an explicit characterization of the Lie algebra associated to the diffeomorphism group of an orbifold is given.

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