Bluetooth device from TV to PC?

I've heard there's a device that you can connect to the TV via HDMI.

Then you can see everything on the TV from the laptop via Bluetooth.

That could be done directly, but the cable is not long enough

No problem over the network, at least with a media server. Screen sharing is a different matter, don't think it's "that easy".

To be honest, I can't imagine using Bluetooth, BT is definitely NOT designed for the mass of data.