Transfer of Plancherel Measures for Unitary Supercuspidal Representations between p-adic Inner Forms

Let $F$ be a $p$-adic field of characteristic 0, and let $M$ be an $F$-Levi subgroup of a connected reductive $F$-split group such that $\Pi_{i=1}^{r} SL_{n_i} \subseteq M \subseteq \Pi_{i=1}^{r} GL_{n_i}$forpositiveintegers$r$and$n_i$. We prove that the Plancherel measure for any unitary supercuspidal representation of $M(F)$ is identically transferred under $\mathit{\text{the}}\mathit{\text{local}}\mathit{\text{Jacquet-Langlands}}\mathit{\text{type}}\mathit{\text{correspondence}}$ between $M$ and its $F$-inner forms, assuming a working hypothesis that Plancherel measures are invariant on a certain set. This work extends the result of Mui{'c} and Savin (2000) for Siegel Levi subgroups of the groups $S{O}_{4n}$ and $S{p}_{4n}$ under the local Jacquet-Langlands correspondence. It can be applied to a simply connected simple $F$-group of type $E_6$ or $E_7$, and a connected reductive $F$-group of type $A_n$, $B_n$, $C_n$ or $D_n$.