Index theory for actions of compact Lie groups on C*-algebras

Details Index theory for actions of compact Lie groups on C*-algebras Index theory for actions of compact Lie groups on C*-algebras

2007-07-21

arxiv.org/abs/0707.3207v3

Mathematics

K-Theory and Homology

22 pages; sign corrections in section 4 and 5

Scientific paper

We study the index theory for actions of compact Lie groups on C*-algebras with an emphasis on principal actions. Given an invariant semifinite trace on the C*-algebra we obtain semifinite spectral triples. For circle actions we consider the relation to the dual Pimsner-Voiculescu sequence. On the way we show that the notions ``saturated'' and ``principal'' are equivalent for actions by compact Lie groups.

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