Twisted index theory for foliations |
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| Authors: | Paulo Carrillo Rouse Bai-Ling Wang |
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| Affiliation: | 1. Institut de mathématiques de Toulouse, université de Toulouse, 31062 Toulouse cedex 9, France;2. Department of Mathematics, Mathematical Sciences Institute, Australian National University, Canberra, ACT 0200, Australia |
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| 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. |
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