The equivariant epsilon conjecture for one-dimensional Lubin–Tate groups

Let $L/\mathbb{Q}_p$ be the extension, let $T$ be the $p$-adic Tate module of the formal group $\mathcal{F}$, and let $\tilde{y}$ be the component of the equivariant epsilon isomorphism described above. Write

$$\partial:K_1(\tilde\Omega)\longrightarrow K_0(\tilde\Lambda,\widehat{\mathbb{Q}^{ur}_p})$$

for the boundary map in the localization exact sequence. Equivariant epsilon conjecture. With the notation as above,

$$\partial(\tilde{y})=0$$

in $K_0(\tilde\Lambda,\widehat{\mathbb{Q}^{ur}_p})$. This is the proposed formulation of the equivariant epsilon conjecture in relative $K_0$-groups for the one-dimensional Lubin–Tate setting; the supplied text gives the formulation but no resolution status.