I bought my mom an eye-fi when they first came out. I've only ever tried it on her computer, but I do know that the card requires drivers/an app when you stick it into your laptop to configure the wifi behaviour. So, I'm going to guess that there's no Android app written for the Eye-Fi (since most Android devices are phones and take a mini SD card at best, not an SD card), and I'm going to guess it's not currently going to function like it does on your computer.

I did find the customer support at Eye-Fi was very helpful when I had an issue with the card, so you could always ask them whether there's any possibility of getting it to run on an Android device.

You can have the Eye-Fi configured to upload to an online photo site such as Picasa or Photobucket, and then use the Picasa or Photobucket app on the edge to retrieve/view/organize the photos. (I know, you can just stick the SD card in and have access to them like a normal card... but I think you're going to find that the only way to get the eye-fi pics on your edge wirelessly will require going through the web like that somehow.)