Why can't I connect my keyboard (Corsair k80 wireless) to PS4?

Question

Keyboard

Such is the game, I bought myself a wireless Corsair k80 wireless keyboard. I decided to connect my peripherals to the ps4, connected the monitor - everything is super, connected the mouse - super, but the clave ... could not, does not understand. K80 wireless can be connected in 3 ways: via usb wire - micro usb, usb 4.9 GHz receiver (like) and via Bluetooth. So it works with Laptop and PC in all ways, but ps4 recognizes it as a keyboard in the first 2 ways, but does not respond to pressing, but connects via Bluetooth, immediately turns off and says that it does not support ... how so, what to do?