  An explicit construction for Q-operators of the finite XXZ spin-chain with
twisted boundary conditions is presented. The massless and the massive regime
is considered as well as the root of unity case. It is explained how these
results yield an alternative expression for the trace function employed in the
description of the correlation functions of the inhomogeneous XXZ model on the
infinite lattice by Boos, Jimbo, Miwa, Smirnov and Takeyama(hep-th/0412191).
