You should check out Unity's documentation on how to animate a character. The following page may be hepful to you
http://unity3d.com/learn/tutorials/modules/beginner/animation
Regarding on how to integrate animations with AppWarp, with appwarp you will be exchanging information regarding the current state of characters. For example, when the player hits the other player, you will send this information through AppWarp that player 1 has hit player 2. On both side then you will play the animation of hitting using the usual Unity's Animation techniques.