  We determine the quantized function algebras associated with various examples
of generalized sine-Gordon models. These are quadratic algebras of the general
Freidel-Maillet type, the classical limits of which reproduce the lattice
Poisson algebra recently obtained for these models defined by a gauged
Wess-Zumino-Witten action plus an integrable potential. More specifically, we
argue based on these examples that the natural framework for constructing
quantum lattice integrable versions of generalized sine-Gordon models is that
of affine quantum braided groups.
