Abstract
Let F be a non-Archimedean locally compact field, and let G be an inner form of GL n (F). We prove Tadi´cTadi´c's conjecture U1 when the characteristic of F is positive. This result implies that the description of the unitary dual of G and the Jacquet-Langlands transfer of unitary representations of G, both known for F of characteristic zero, are true in any characteristic.