 <p>You could setup a service that runs periodically, and checks the server if an update is available (check the timestamp of the APK would be one way to check this).</p> <p>Then download the APK. Install it, and send a notification.</p> <p>This is a complicated thing to accomplish, and probably not something you would want to do yourself if you can help it. (Why isn't it in the Play Market?)</p>