I've used a 5GHz 802.11n AP in my last two apartments; it's worked great every time. Most of the time I don't even see any other access points in range. Even if there are other APs, 5GHz has many more frequency bands available, so avoiding interference is simple. The only drawback is that so many devices don't support 5GHz. My smartphone didn't until I upgraded to the SGS III, and my Nook still doesn't.
Also, 5GHz is faster because the spec allows 40MHz channels.
http://en.wikipedia.org/wiki/IEEE_802.11ac
http://www.amazon.com/RT-AC66U-Dual-Band-Wireless-AC1750-Gig...
2.4 GHz has 3 non-overlapping 20 MHz channels.
5 GHz has about 23 non-overlapping 20 MHz channels.
Both go through walls, so you will get interference from neighbouring apartments no matter what technology you implement. The only solutions are to use a much higher frequency, or shield your apartment walls.