Equivariant K-groups of spheres with actions of involutions

Details Equivariant K-groups of spheres with actions of involutions Equivariant K-groups of spheres with actions of involutions

2000-05-29

arxiv.org/abs/math/0005271v1

J. Korean Math. Soc. 37 (2000), 645-655

Mathematics

K-Theory and Homology

7 pages, AMS-LaTeX v1.2

Scientific paper

We calculate the R(G)-algebra structure on the reduced equivariant K-groups
of two-dimensional spheres on which a compact Lie group G acts as involutions.
In particular, the reduced equivariant K-groups are trivial if G is abelian,
which shows that the previous Y. Yang's calculation in [Yan95] is not true.

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