Playstation 4 Bluetooth Support

Currently the PS4 does not directly support Bluetooth headsets (neither Stereo or Mono). But, since a large number of USB headsets do work, some Bluetooth headsets that come with a dongle that plugs into the USB port, will wok for audio and in some cases both audio and chat. It's does have the software and Bluetooth hardware in place to allow future direct support, after a system update. You can connect most Bluetooth Keyboards as it does support the HID profile. Sony will likely announce future Bluetooth support in the near future.

Current potential Bluetooth support:
Headset Profile v1.2 - Audio Gateway (AG)
AVRCP 1.4 - Controller/Target
Human Interface Device - Host
A2DP 1.2 - Sink/Source