@Trantor: Where is this rotating 11-floor tower in Brazil? I've never heard.
It is quite easy transmitting eletricity to other points in the room out the core. You can have 2 round rails, one fixed in core floor and the other in rotation side floor almost touching one with other, with small space in between and when rotates the electric devices outer the core is in this magnet system converted. 2 rails to magnet transfer for electricity. There is only solution for eletrical devices and system. The other systems should be kept in core, of course, like plumbing, flushing and so on.