speakers are exactly the same form car audio to home audio....using a car audio subwoofer on a home audio system will not affect the sub at all. both types of amps use alternating current to power the speakers, so it would really not matter which place u use a subwoofer in.........for example, in a makeshift beater car, ive used home audio speaker sets to replace the crappy speakers in the car and my friend used a 15" MTX sub in his home audio system.
actually the main issue is that most home amplifiers below the $1,500 range, are only 8 Ohm stable. If your sub is DVC and 4 Ohms per coil, wire it into series if you plan to use it at home. also, you want a dedicated sub amp for the sub as home audio systems always use a dedicated LFE channel for a sub (usually anyway) and that channel is line-out. made for amplified subs or a dedicated sub amp and sub. you'll also need a means of crossover for the sub in the house.