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arXiv · 1405.7139

On Noncommutative Geometry of Orbifolds

Antti J. Harju
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Abstract

An orbifold is a Morita equivalence class of a proper {\' e}tale Lie groupoid. A unitary equivalence class of spectral triples over the algebra of smooth invariant functions are associated with any compact spin orbifold. In the case of an effective spin orbifold we construct a collection of spectral triples over the smooth convolution algebras of the representatives of the Morita equivalence class.

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BibTeXRIS

Antti J. Harju. 2014-12-15. On Noncommutative Geometry of Orbifolds. https://doi.org/10.1142/s0219199715500273

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