Chi-Kwong Fok
In this paper, extending the results in \cite{F}, we compute Adams operations on twisted $K$-theory of connected, simply-connected and simple compact Lie groups $G$, in both equivariant and nonequivariant settings.
This paper contains 8 sections, 15 theorems, 62 equations.
Theorem 1.1
Let $\ell$ be an integer, $W_\mu\in K_G^*(G, \tau^n)$ the $K$-theory class which is the image of the class of the irreducible $G$-representation $V_\mu\in K_G^*(\text{pt})$ with highest weight $\mu$ under the pushforward map $f_{G, *}: K_G^*(\text{pt})\to K_G^*(G, \tau^n)$ induced by the inclusion o satisfies for $\mu$ being a level $|n|-\textsf{h}^\vee$ weight and $|n|\geq \textsf{h}^\vee$. It i
