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arXiv · 1308.3871

The Real K-Theory of Compact Lie Groups

Chi-Kwong Fok
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Abstract

Let $G$ be a compact, connected, and simply-connected Lie group, equipped with a Lie group involution $σ_G$ 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 $(G, σ_G)$ by drawing on previous results on the module structure of the $KR$-theory and the ring structure of the equivariant $K$-theory.

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Chi-Kwong Fok. 2014-03-11. The Real K-Theory of Compact Lie Groups. https://doi.org/10.3842/sigma.2014.022

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