On Noncommutative Geometry of Orbifolds
Differential Geometry
2015-04-07 v4 Mathematical Physics
math.MP
Operator Algebras
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.
Keywords
Cite
@article{arxiv.1405.7139,
title = {On Noncommutative Geometry of Orbifolds},
author = {Antti J. Harju},
journal= {arXiv preprint arXiv:1405.7139},
year = {2015}
}