  The Pimsner-Voiculescu sequence is generalized to a Pimsner-Voiculescu tower
describing the $KK$-category equivariant with respect to coactions of a compact
Lie group satisfying the Hodgkin condition. A dual Pimsner-Voiculescu tower is
used to show that coactions of a compact Hodgkin-Lie group satisfy the
Baum-Connes property.
