Lie groupoids, pseudodifferential calculus, and index theory - Archive ouverte HAL Accéder directement au contenu
Chapitre D'ouvrage Année : 2019

Lie groupoids, pseudodifferential calculus, and index theory

Résumé

Alain Connes introduced the use of Lie groupoids in noncommutative geometry in his pioneering work on the index theory of foliations. In the present paper, we recall the basic notion involved: groupoids, their C *-algebras, their pseudodifferential calculus... We review several recent and older advances on the involvement of Lie groupoids in noncommutative geometry. We then propose some open questions and possible developments of the subject.
Fichier principal
Vignette du fichier
Review_juillet19.pdf (623.37 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03776455 , version 1 (13-09-2022)

Identifiants

Citer

Claire Debord, Georges Skandalis. Lie groupoids, pseudodifferential calculus, and index theory. Advances in Noncommutative Geometry, Springer International Publishing, pp.245-289, 2019, ⟨10.1007/978-3-030-29597-4_4⟩. ⟨hal-03776455⟩
2 Consultations
49 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More