Independence of Unitarizability (Conjecture 3.10)

Show that in the Jantzen framework with π_1 ∈ Irr(X_{ρ_1};σ) and corresponding E(π_1) constructed by transferring the support across cuspidal lines with equal reducibility points, π_1 is unitary if and only if E(π_1) is unitary.

Background

Beyond preservation, Tadić proposed an independence phenomenon: under a specific transfer (E(π_1)) between lines with the same reducibility point, unitarity should be equivalent before and after the transfer.

The authors confirm an Arthur-type analogue (Theorem 6.25), suggesting a pathway toward resolving the original conjecture for unitarity, which remains open.