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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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
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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1995-1257645-1
PII: S 0002-9947(1995)1257645-1
Article copyright: © Copyright 1995 American Mathematical Society