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I want to hook it up without the (-) cable. Like a stereo amp.
You don't need to run a neg wire from the battery to the trunk, but you may want to run a heavy wire from the neg batt to a good part the body of the car, Most cars have a heavy wire from the batt- to the engine block and a thin wire from the batt- to the body, the block and body may not have a good connection . ( the metal around the strut/shock towers is usually good, thick metal w/ lots of welds to the rest of the body , but watch where you drill and be sure to clean down to bare metal under the terminal, use some dielectric grease or that red goop you can get at an auto parts store to stop battery terminal corrosion to protect the bare metal) do the same in the trunk for your neg amp/PS connections and run your pos wire as planed. you may want to run another heavy wire from the alternator pos output/charge ( if you can get to or find it) to the pos batt terminal to get the most out of your alternator.