How can I freeze this wave player when mute = true?

Hello.
I got this file that very simply, plays a wav file.

Now I want to be able to set a boolean value mute to true.
Then the file should stop playing the wav until mute = true again.

But I dont want a while loop looping every second, because It would lag my game too much.
So how can I do it without using while?

How are you playing the wav file?

new AeWaveFile("...blah\\myFile.wav").start();

It does run, I just need a way to pause..