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The Real $K$-Theory of Compact Lie Groups
Symmetry, integrability and geometry: methods and applications, Tome 10 (2014) Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $G$ be a compact, connected, and simply-connected Lie group, equipped with a Lie group involution $\sigma_G$ and viewed as a $G$-space with the conjugation action. In this paper, we present a description of the ring structure of the (equivariant) $KR$-theory of $(G, \sigma_G)$ by drawing on previous results on the module structure of the $KR$-theory and the ring structure of the equivariant $K$-theory.
Keywords: $KR$-theory; compact Lie groups; Real representations; Real equivariant formality. 
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     author = {Chi-Kwong Fok},
     title = {The {Real} $K${-Theory} of {Compact} {Lie} {Groups}},
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}
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Chi-Kwong Fok. The Real $K$-Theory of Compact Lie Groups. Symmetry, integrability and geometry: methods and applications, Tome 10 (2014). http://geodesic.mathdoc.fr/item/SIGMA_2014_10_a21/

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