  We continue the study of isomorphisms of tensor algebras associated to a
C*-correspondences in the sense of Muhly and Solel. Inspired by by recent work
of Davidson, Ramsey and Shalit, we solve isomorphism problems for tensor
algebras arising from weighted partial dynamical systems. We provide complete
bounded / isometric classification results for tensor algebras arising from
weighted partial systems, both in terms of the C*-correspondences associated to
them, and in terms of the original dynamics. We use this to show that the
isometric isomorphism and algebraic / bounded isomorphism problems are two
distinct problems, that require separate criteria to be solved. Our methods
yield alternative proofs to classification results for Peters' semi-crossed
product due to Davidson and Katsoulis and for multiplicity-free graph tensor
algebras due to Katsoulis, Kribs and Solel.
