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.
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