Index theory for actions of compact Lie groups on C*-algebras
K-Theory and Homology
2008-06-28 v3 Operator Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.0707.3207,
title = {Index theory for actions of compact Lie groups on C*-algebras},
author = {Charlotte Wahl},
journal= {arXiv preprint arXiv:0707.3207},
year = {2008}
}
Comments
22 pages; sign corrections in section 4 and 5