Quasifolds, Diffeology and Noncommutative Geometry

Abstract

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. This builds a new bridge between diffeology and noncommutative geometry (beginning with the today classical example of the irrational torus) which associates a Morita class of C*-algebras with a diffeomorphic class of quasifolds.

21 pages, 3 figures, final version to appear in J. Noncommut. Geom., notes added in introduction

Cited by in corpus (3)

• Toric Quasifolds
• Generalized Laurent monomials in nonrational toric geometry
• Diffeological Morita Equivalence