Input statement: Evaluation boundary

Under $({\mathrm{UCP}}_W)$, ${\Delta }_{\xi }\mathcal{O}{|}_{{\mathcal{C}}_W}=0$. The coefficientwise kernel ${\mathcal{N}}_W$ is not a two-sided ideal. No reduced algebra was handed off. ${\mathcal{C}}_W$ remains an evaluation set XIIIA.