The Pimsner-Voiculescu sequence for coactions of compact Lie groups

Magnus Goffeng

Abstract


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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DOI: http://dx.doi.org/10.7146/math.scand.a-15209

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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