Intellectual Property Rights When Moving University
In general you should be fine:


Your research is published, so everyone (including you) can build upon it.
You do not have any patents (which would remain at the university)


The only thing might be software written at your institution or hardware built during your work. Those remain at the university as long as you do not agree on otherwise. But usually, one becomes smarter over time so this might be a good point in time to re-implement some stuff... 

On the other hand, your work might be worthless for your university when you are not there - e.g. no one will digg into foreign research code... So you should have a good position for negotiations.