Is it possible to copy keyframes from the animation of one GameObject to another?

Hi all, I'm busy animating a character in Unity using the RageTools from Freakow. The character I'm animating is a 2D swimming character. I have created the animation for his front arm, let's call this GameObject *Character_FrontArm*, but now I have to copy-paste this animation onto his back arm (Character_BackArm). I tried copying the GameObject *Character_FrontArm*, pasting it into the same parent, renaming it to *Character_BackArm*, copying all the keyframes from *Character_FrontArm*'s dopesheet and pasting them into the dopesheet of *Character_BackArm*, but that doesn't work. So, is there any way to copy-paste keyframes from one GameObject into another so I can quickly create clones in order to make two moving arms/legs/whatever? Thanks a ton :)