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Equivariant K-groups of spheres with actions of involutions

Jin-Hwan Cho·Mikiya Masuda
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Abstract

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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Jin-Hwan Cho, Mikiya Masuda. 2000-05-29. Equivariant K-groups of spheres with actions of involutions. https://arxiv.org/abs/math/0005271

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