On Noncommutative Geometry of Orbifolds

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.

Cited by in corpus (1)

• Continuity of the Spectrum of Dirac Operators of Spectral Triples for the Spectral Propinquity