Interior Kasparov products for ρ-classes on Riemannian foliated bundles

Not scheduled
50m

Speaker

Prof. Vito Zenobi (Sapienza - Università di Roma)

Description

Given a suitably oriented inclusion of a foliation to another (on the same manifold), we extend the construction of shriek maps given by Hilsum and Skandalis to adiabatic deformation groupoid C*-algebras, using the monodromy groupoids of the foliations. Furthermore, we prove an interior Kasparov product formula for foliated ρ-classes associated with longitudinal metrics of positive scalar curvature in the case of Riemannian foliated bundles.

Presentation materials