On the coefficient groups of equivariant $K$-theory
Author:
Yimin Yang
Journal:
Trans. Amer. Math. Soc. 347 (1995), 77-98
MSC:
Primary 55N91; Secondary 19L47, 55N15, 57S15, 57S17
DOI:
https://doi.org/10.1090/S0002-9947-1995-1257645-1
MathSciNet review:
1257645
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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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Article copyright:
© Copyright 1995
American Mathematical Society
