Noncommutative Geometry and Diffeologies: The Case of Orbifolds
September 5, 2016, update March 16, 2017
 
We establish a structural link between diffeological orbifolds regarded as diffeologies and non-commutative geometry. Precisely, we associate a structure groupoid with every atlas of a diffeological orbifold. We show that different atlases give equivalent groupoids, that generate Morita equivalent C*-algebras, according to the standard Connes-Renault procedure.

[A joint work with Jean-Pierre Laffineur]

Submitted for publication