Lie groupoids, pseudodifferential calculus, and index theory

Claire Debord () and Georges Skandalis ()
Additional contact information
Claire Debord: Université Paris Diderot, Sorbonne Paris Cité Sorbonne Universités, UPMC Paris 06 CNRS, IMJ-PRG UFR de Mathématiques
Georges Skandalis: Université Paris Diderot, Sorbonne Paris Cité Sorbonne Universités, UPMC Paris 06 CNRS, IMJ-PRG UFR de Mathématiques

A chapter in Advances in Noncommutative Geometry, 2019, pp 245-289 from Springer

Abstract: Abstract 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, etc. 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.

Date: 2019
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-29597-4_4

Ordering information: This item can be ordered from
http://www.springer.com/9783030295974

DOI: 10.1007/978-3-030-29597-4_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().