Bivariant Chern Character and Longitudinal Index

نویسنده

  • Alexander Gorokhovsky
چکیده

In this paper we consider a family of Dirac-type operators on fibration P → B equivariant with respect to an action of an étale 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 étale groupoids [9] in the case of fibrations.

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تاریخ انتشار 2006