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Twisted index theory for foliations
- Source :
-
Comptes Rendus. Mathématique . Dec2010, Vol. 348 Issue 23/24, p1297-1301. 5p. - Publication Year :
- 2010
-
Abstract
- Abstract: For any Lie groupoid with a twisting, we define an analytic index morphism using the Connes tangent groupoid. This morphism agrees with the one of the Lie groupoid when the twisting is trivial. We discuss a longitudinal index theorem, geometric cycles, push-forward maps and Baum–Connes assembly maps for foliations with a twisting on the space of leaves. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1631073X
- Volume :
- 348
- Issue :
- 23/24
- Database :
- Academic Search Index
- Journal :
- Comptes Rendus. Mathématique
- Publication Type :
- Academic Journal
- Accession number :
- 55627212
- Full Text :
- https://doi.org/10.1016/j.crma.2010.10.037