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| Main Author: | |
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| Format: | Preprint |
| Published: |
2007
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/0709.0176 |
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| _version_ | 1866915773249748992 |
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| author | Kalisnik, Jure |
| author_facet | Kalisnik, Jure |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0709_0176 |
| institution | arXiv |
| publishDate | 2007 |
| record_format | arxiv |
| spellingShingle | Representations of orbifold groupoids Kalisnik, Jure Differential Geometry Representation Theory 22A22, 22D10 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. |
| title | Representations of orbifold groupoids |
| topic | Differential Geometry Representation Theory 22A22, 22D10 |
| url | https://arxiv.org/abs/0709.0176 |