Mathematics – Algebraic Topology
Scientific paper
2012-03-21
Mathematics
Algebraic Topology
Accepted for publication by the Journal of Topology
Scientific paper
Let G denote a compact connected Lie group with torsion-free fundamental group acting on a compact space X such that all the isotropy subgroups are connected subgroups of maximal rank. Let $T\subset G$ be a maximal torus with Weyl group W. If the fixed-point set $X^T$ has the homotopy type of a finite W-CW complex, we prove that the rationalized complex equivariant K-theory of X is a free module over the representation ring of G. Given additional conditions on the W-action on the fixed-point set $X^T$ we show that the equivariant K-theory of X is free over R(G). We use this to provide computations for a number of examples, including the ordered n-tuples of commuting elements in G with the conjugation action.
Adem Alejandro
Gómez José Manuel
No associations
LandOfFree
Equivariant K-theory of compact Lie group actions with maximal rank isotropy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Equivariant K-theory of compact Lie group actions with maximal rank isotropy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivariant K-theory of compact Lie group actions with maximal rank isotropy will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-488713