On Noncommutative Geometry of Orbifolds
Abstract
An orbifold is a Morita equivalence class of a proper \' etale 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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