Analysis seminar

Hun Hee Lee, Seoul National University

"Operator amenability of the $L^1$-algebra of a compact quantum group"

We consider the question of operator amenability of the $L^1$-algebra of a compact quantum group. In order to answer the question we instead look at a related concept of operator biflatness. The final result says for a
compact quantum group $G$, $L^1(G)$ is operator amenable if and only if $G$ is co-amenable and of Kac type, which excludes examples like
$SU_q(2)$.