  We show that the conductance of a one-dimensional, finite charge-density-wave
(CDW) system of the incommensurate type is not renormalized at low temperatures
and depends solely on the leads. Within our formalism, we argue that a similar
behavior (perfect conductance) should occur for a wide class of one-dimensional
strongly correlated finite systems where interactions are current dependent.
The universal conductance is related to the presence of an (anomalous) chiral
symmetry. The fundamental role played by the finiteness of the sample and the
adiabaticity of the contacts to Fermi-liquid leads is evidenced.
