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.
2021
15
735
759
Patrick Iglesias-Zemmour; Elisa Prato
File in questo prodotto:
File Dimensione Formato  
QDANCG.pdf

accesso aperto

Descrizione: Articolo principale
Tipologia: Versione finale referata (Postprint, Accepted manuscript)
Licenza: Tutti i diritti riservati
Dimensione 2.67 MB
Formato Adobe PDF
2.67 MB Adobe PDF
2490923-10.4171-jncg-419-print.pdf

accesso aperto

Descrizione: Articolo principale
Tipologia: Pdf editoriale (Version of record)
Licenza: Creative commons
Dimensione 2.35 MB
Formato Adobe PDF
2.35 MB Adobe PDF

I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1193695
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 4
social impact