Representations of orbifold groupoids

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.

15 pages

References in corpus (3)

• Orbifolds as Groupoids: an Introduction
• Stability and invariants of Hilsum-Skandalis maps
• Translation Groupoids and Orbifold Bredon Cohomology

Cited by in corpus (4)

• A Tannaka Theorem for Proper Lie Groupoids
• A note on the global structure of proper Lie groupoids in low codimensions
• Monodromy and faithful representability of Lie groupoids
• Groupoid representations and modules over the convolution algebras