EQUIARIANT K-GROUPS OF SPHERES WITH INVOLUTIONS

  • Cho, Jin-Hwan (School of Mathematics Korea Institute for Advanced Study) ;
  • Mikiya Masuda (Department of Mathematics Osaka City University)
  • Published : 2000.07.01

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 a reflection. In particular, the reduced equivariant K-groups are trivial if G is abelian, which shows that the previous Y. Yang's calculation in [8] is incorrect.

Keywords

RO(G)-graded cohomology theory;equivariant K-theory;equivariant vecor bundle;representation sphere

References

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