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As the output is a half-bridge, it is a differential balanced output. Neither of the speaker terminals is 'ground' or common. This is one reason I didn't go with the conventional black-red binding post colors, to reduce the risk of customers assuming that the negative speaker terminal is grounded. As both speaker posts are active and swing in opposite directions, it is trivial to wire and label the outputs to mirror the input polarity. As you note, the input stage to Tripath controllers is inverting. I just verified this with an oscilloscope and wired and labeled the outputs to undo the inverted input stage.