Representations of orbifold groupoids

Details Representations of orbifold groupoids Representations of orbifold groupoids

2007-09-03

arxiv.org/abs/0709.0176v2

Mathematics

Differential Geometry

15 pages

Scientific paper

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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