Thanks Vladimir, yup it looks like that's the problem area.
@Igor - the back of the star looks like a surface of revolution where the revolve profile was slightly out of alignment with the revolve axis. This has made a small area there in the center where the surface crosses over itself and self-intersecting surfaces like that will tend to confuse boolean operations. The object doesn't have a well defined inner and outer region when there is a self intersection in it.
Also since that back surface seems to be planar it would be better for it to be a plane surface rather than a surface of revolution. MoI's revolve command will try to replace things like that with planes but maybe it wasn't able to do that because of the misalignment.
Some quick steps to repair it - select the back face of the star and delete it. Then select the star object and run Construct > Planar - that will build a plane end cap and join it in and then you can do a boolean union ok after that.
- Michael
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