Local Index Theory over Etale Groupoids

2001/06/05 by Alexander Gorokhovsky, John Lott, Gorokhovsky, Alexander +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.math/0106035

Final version

arxiv created 2002/06/19 · arxiv updated 2009/11/30

Abstract

We give a superconnection proof of Connes' index theorem for proper cocompact actions of etale groupoids. This includes Connes' general foliation index theorem for foliations with Hausdorff holonomy groupoid.

Related

• Local index theory over foliation groupoids
• Compactly supported analytic indices for Lie groupoids
• Index theory for improper actions: localization at units
• The analytic index for proper, Lie groupoid actions
• The transverse index theorem for proper cocompact actions of Lie groupoids