Consciousness implies recognizing actions as associated with the actor or not? To recognize such a correlation implies some means to 'cause' action (otherwise the perceptronium is just a pattern detector and I don't think that sufficieces for consciousness). To 'cause' actions implies that the action is not (detectably) determined by external effects (but effectively only by structure internal to the actor). Thus you need this autonomy (if you subscribe to this model).
Consciousness implies recognizing actions as associated with the actor or not?
Not on my concept of consciousness. For me, consciousness is about subjective experience, not about agency. To paraphrase Bentham, "My question is not, Can they reason? nor, Can they act? but, Can they suffer?"
Max Tegmark publishes a preprint of a paper arguing from physical principles that consciousness is “what information processing feels like from the inside,” a position I've previously articulated on lesswrong. It's a very physics-rich paper, but here's the most accessable description I was able to find within it:
The whole paper is very rich, and worth a read.