Jeez, I typed this whole thing up, then re-read the OP and it didn't mention depth of field once... even though I THOUGHT that was the initial question. Humm... well here's a useless bit of sidetracked info anyhow, since I went through all the effort of typing it.
The easiest way (for me) to comprehend it was to do the following test and compare results:
Find a subject that doesn't move, and has a background that you can see the bokeh.
Take crop camera, 50mm lens and frame the subject, shoot at (for example) f/2.
Take FF camera, 50mm lens and shoot from same spot @ f/2. Your subject will not fill the frame here, but you can compare results.
Take FF camera, 80mm lens (in the case of a 1.6x comparison) and shoot from the same spot @ f/2. Subject should look similar in size to shot #1.
Take FF camera, 50mm lens, and step forward until you have a similar framing/FoV to shot #1.
The results should be along these lines:
Shot 1 and 2 will have the same dept of field. If you crop shot 2 to match shot 1, they should look virtually identical.
Shot 3 will have a shallower depth of field due to the longer lens.
Shot 4 will have a shallower depth of field due to being closer to the subject.
Think of it like this: With a full frame camera you can move closer to the subject and use the same lens. Closer to subject = more shallow DoF.
The inverse is true... if you WANT more DoF, a smaller sensor will allow you to accomplish this without having to stop down.
So no, the 50mm crop shot is not equal (DoF) wise to a 75mm FF shot