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Equivariant K-theory of Compact Lie Group Actions with Maximal Rank Isotropy
| Content Provider | Semantic Scholar |
|---|---|
| Author | Adem, A. Gómez, José Manuel |
| Copyright Year | 2012 |
| Abstract | 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 ⊂ G be a maximal torus with Weyl group W . If the fixed–point set X 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 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. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.math.ubc.ca/~adem/AG.032012.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Computation Fixed point (mathematics) Fixed-Point Number Maximal independent set Maximal set Torsion (gastropod) |
| Content Type | Text |
| Resource Type | Article |
