If you're asking why you see a negative voltage after the capacitor, that's because it's doing exactly what it's supposed to be doing.
A capacitor doesn't pass DC current, as you know. But you can get momentary movement of current on the downstream side of a capacitor as it charges or discharges. As the capacitor charges up, it accumulates a significant negative charge on one of the plates. That negative charge repels the electrons in the other plate so they leave the capacitor, creating a momentary flow of current. But as soon as the capacitor finishes charging, everything settles down to steady state and you have no more current flowing downstream of the cap.
When the capacitor discharges, the negative charge on the upstream plate decreases, which allows electrons to return to the other plate, so you get a momentary flow of electrons *toward* the capacitor from downstream. This is the negative voltage that you saw.
This is a desirable behavior to have for speakers because the neutral position for a speaker is right in the middle of its travel range. You need a positive current to cause the membrane to move in one direction, and when you stop the current the membrane returns to the neutral position, but if you can provide a negative current then the membrane can also travel in the opposite direction so you get twice the travel distance and basically twice the work out of the speaker.