On the coefficient groups of equivariant 𝐾-theory

Yang, Yimin

doi:10.1090/S0002-9947-1995-1257645-1

On the coefficient groups of equivariant $K$-theory
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Trans. Amer. Math. Soc. 347 (1995), 77-98 Request permission

Abstract:

We calculated the coefficient groups of equivariant $K$-theory for any cyclic group, and we proved that, for any compact Lie group, the coefficient groups can only have $2$-torsion. If there is any $2$-torsion, it is detected by $2$-primary finite subgroups of $G$. The rationalization of the coefficient groups then can be easily calculated.

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