The Godbillon-Vey invariant in equivariant -theory
arXiv:1811.04603 · doi:10.2140/akt.2020.5.249
Abstract
We construct a groupoid equivariant Kasparov class for transversely oriented foliations in all codimensions. In codimension 1 we show that the Chern character of an associated semifinite spectral triple recovers the Connes-Moscovici cyclic cocycle for the Godbillon-Vey secondary characteristic class.