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arXiv · 0709.0176

Representations of orbifold groupoids

Jure Kalisnik
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Abstract

Orbifold groupoids have been recently widely used to represent both effective and ineffective orbifolds. We show that every orbifold groupoid can be faithfully represented on a continuous family of finite dimensional Hilbert spaces. As a consequence we obtain the result that every orbifold groupoid is Morita equivalent to the translation groupoid of an action of a bundle of compact topological groups.

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Jure Kalisnik. 2007-09-03. Representations of orbifold groupoids. https://doi.org/10.1016/j.topol.2008.02.004

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