I just looked over this article from Retraction Watch.
To make a long story short, a student used previous data from their former lab and then published it without the PI's permission or knowledge.
While the above is a rather extreme example of poor ethics, I'm curious where the line gets drawn regarding the ownership of research. I can understand if the data was produced in one environment and then get published in another. What about reagents (clones come to mind) that were produced in a previous lab and then were transported to a new lab? What about ideas that were developed in one lab and then taken to another?