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Twisted index theory for foliations [Théorie de l'indice tordue pour des feuilletages]

Rouse, Paule Carillo; Wang, Bai-Ling

Description

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.

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
URI: http://hdl.handle.net/1885/58673
Source: Academie des Sciences Comptes Rendus: Mathematique
DOI: 10.1016/j.crma.2010.10.037

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