Default [Q] Force an App to Keep running in Background?

There is a stream specific audio app I use that quits if I switch to the home screen or another app, instead of keeping the audio going. The display has nothing useful other than a pause/play button. This means I can't check my email without starting the app all over again.

I know that the app can be designed differently to avoid this, but thats not happening. Is there any way to trick the app into thinking its still being displayed?

By the way thiis is the behavior on my Nexus 4 phone. On my Nexus 7 tablet it keeps playing in the background. Both run 4.4.2.