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.
Quasifolds, Diffeology and Noncommutative Geometry / Patrick Iglesias-Zemmour; Elisa Prato. - In: JOURNAL OF NONCOMMUTATIVE GEOMETRY. - ISSN 1661-6952. - STAMPA. - 15:(2021), pp. 735-759. [10.4171/JNCG/419]
Quasifolds, Diffeology and Noncommutative Geometry
Elisa Prato
Membro del Collaboration Group
2021
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.File | Dimensione | Formato | |
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