Quasifolds, Diffeology and Noncommutative Geometry
May 8, 2020
 
After embedding the objects quasifolds into the category {Diffeology}, we associate a C∗-agebra with every atlas of any quasifold, and show how different atlases give Morita equivalent algebras. That makes a new bridge between diffeology and noncommutative geometry — beginning with the today classical example of irrational torus (also called quasitorus) — which associates a Morita class of C∗-algebra with an diffeomorphic class of quasifolds

Joint work with Elisa Prato.



Submitted for publication.