Do star systems stripped from galaxies have different expected behavior? Another way of stating this question: Does the fact that a star system (or comparable concentrated mass) exists in a galaxy affect its long-term evolution, in terms of expansion, contraction, nebulation, etc.?

This question was inspired by a view of the "Umbrella Galaxy" where previous interactions have torn streams of stars far from the galactic disk.
The local environment is very important to star formation because it requires material as well as something to perturb the nebula to start collapsing and forming star(s). Therefore, both the type of galaxy as well as the location in the galaxy are very important to creating stars. 

However, once a star moves from protostar onto the main sequence, external influences don't much affect its development. This is how we can identify stellar streams because the stars come from a similar population when they are created, but some tidal forces cause them to spread out around the galaxy.