  The class of Schur-Agler functions over a domain ${\mathcal D} \subset
{\mathbb C}^{d}$ is defined as the class of holomorphic operator-valued
functions on ${\mathcal D}$ for which a certain von Neumann inequality is
satisfied when a commuting tuple of operators satisfying a certain polynomial
norm inequality is plugged in for the variables. Such functions are
alternatively characterized as those having a linear-fractional presentation
which identifies them as transfer functions of a certain type of conservative
structured multidimensional linear system. There now has been introduced a
noncommutative version of the Schur-Agler class which consists of formal power
series in noncommuting indeterminants satisfying a noncommutative version of
the von Neumann inequality when a tuple of operators (not necessarily
commuting) coming from a noncommutative operator ball are plugged in for the
formal indeterminants. Formal power series in this noncommutative Schur-Agler
class in turn are characterized as those having a certain linear-fractional
presentation in noncommuting variables identifying them as transfer functions
of a recently introduced class of conservative structure multidimensional
linear systems having evolution along a free semigroup rather than along an
integer lattice. The purpose of this paper is to extend the previously
developed interpolation theory for the commutative Schur-Agler class to this
noncommutative setting.
