the specs say it does. But what ever input you are plugging it into has to accept it. i personally have never had any hdmi input on my tv or audio system accept audio through the same hdmi cable. always needed a separate set of audio cables.
but check your settings in your mac mini. there is a setting that you have to set to switch audio fro the mac mini speakers to the mac mini hdmi output
the specs say it does. But what ever input you are plugging it into has to accept it. i personally have never had any hdmi input on my tv or audio system accept audio through the same hdmi cable. always needed a separate set of audio cables.
Are you just talking about the mac mini or just in general? If you are talking in general, you are doing something wrong. Audio over HDMI is half the point of it.