Index Theory for Actions of Compact Lie Groups on C-algebras
نویسنده
چکیده
We study the index theory for actions of compact Lie groups on C∗-algebras with an emphasis on principal actions. Given an invariant semifinite faithful 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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