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arXiv · 1401.7827

Equivariant K-theory of compact Lie groups with involution

Po Hu·Igor Kriz·Petr Somberg
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Abstract

For a compact simply connected simple Lie group $G$ with an involution $\alpha$, we compute the $G\rtimes \Z/2$-equivariant K-theory of $G$ where $G$ acts by conjugation and $\Z/2$ acts either by $\alpha$ or by $g\mapsto \alpha(g)^{-1}$. We also give a representation-theoretic interpretation of those groups, as well as of $K_G(G)$.

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Po Hu, Igor Kriz, Petr Somberg. 2014-01-30. Equivariant K-theory of compact Lie groups with involution. https://arxiv.org/abs/1401.7827

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