Representations of orbifold groupoids
Differential Geometry
2026-02-05 v2 Representation Theory
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.
Cite
@article{arxiv.0709.0176,
title = {Representations of orbifold groupoids},
author = {Jure Kalisnik},
journal= {arXiv preprint arXiv:0709.0176},
year = {2026}
}
Comments
15 pages