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Representations of orbifold groupoids

Authors
  • Kalisnik, Jure
Type
Preprint
Publication Date
Oct 11, 2007
Submission Date
Sep 03, 2007
Identifiers
arXiv ID: 0709.0176
Source
arXiv
License
Unknown
External links

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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