The Pimsner-Voiculescu sequence for coactions of compact Lie groups

Details The Pimsner-Voiculescu sequence for coactions of compact Lie groups The Pimsner-Voiculescu sequence for coactions of compact Lie groups

2010-04-25

arxiv.org/abs/1004.4333v4

Mathematics

K-Theory and Homology

19 pages, to appear in Mathematica Scandinavica

Scientific paper

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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