Like what pretty much everyone else says, make sure you protect the floor well.
I've set up my gear in my first apartment (basement) and where I live now (17th floor of an apartment building). Both had a good cushion between the plates and the floor (plywood + matts). Both were also solid, well constructed buildings. If you're in 50+ year old, slanted house, with creaky wooden floors... I'd likely not, but if I did, I would make sure to set up a good, strong platform area.
Lift at reasonable times. You're very likely to unnecessarily bother your neighbors otherwise.
One other random tip. Cut out corrugated cardboard circles the size of your plates with holes in the center (might need to be more than one piece thick and taped together, will have to be replaced on occasion) and put them between your plates. This will stop your plates from banging together (especially at lockout and for things like Deadlifts) and ringing, and will cut down on the noise. It doesn't add any real weight to the bar, and athough it looks kind of silly and takes a few extra seconds (and some arts and crafts prep time) it's worth it to just add that extra bit of noise reduction and consideration for your neighbors.