2005/04/06 by Alexander Gorokhovsky, Gorokhovsky, Alexander
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA) #math.DG #math.OA
paper · pdf · doi:10.48550/arxiv.math/0504092
arxiv created 2005/04/06 · openalex publication_date 2005/04/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we consider a family of Dirac-type operators on fibration P → B equivariant with respect to an action of an etale groupoid. Such a family defines an element in the bivariant K theory. We compute the action of the bivariant Chern character of this element on the image of Connes' map Φ in the cyclic cohomology. A particular case of this result is Connes' index theorem for etale groupoids in the case of fibrations.