You have not said which version of the MacMini you have, whether it has an independent monitor got normal use (i.e. the MacMini is more than a media server), nor how far apart the BV7-40 and the MacMini are, nor whether there are spare AV ports on the BV7-40.
All are important considerations.
If you don't want the MacMini connected to the BV7-40 then I would suggested an Apple TV.
Your MacMini can wirelessly communicate the the ATV which is connected to the BV7-40 HDMI; if iTunes is your media library you turn on Home Sharing, and then the ATV will gain access wirelessly to the iTunes library and display its music (artists, albumns, songs) and playlists.
If your HDMI ports are fully occupied then we have a bit of problem (I was unpleasantly surprised when I discovered that a 4 port HDMI BV7-40 can have 2 of its ports (50%!!!!!) consumed by what I will call "internal" functions: the integrated BluRay and the DTV).
First B&O (1976) was a Beogram 1500 ... latest (2011) change has been to couple the BL11 with the BL6Ks *sounds superb*