Injectivity after restriction to compact open subgroups
Compact-subgroup injectivity conjecture. If π∈Repladm(G)\pi\in\mathfrak{Rep}^{\textnormal{ladm}}(G)π∈Repladm(G) is injective, then π∣K\pi|_Kπ∣K is injective in Rep∞(K)\mathfrak{Rep}^\infty(K)Rep∞(K). Consequently,