Virtually every USB communication is between a USB host and a USB device. The host has USB host hardware and firmware. The device has USB device hardware and firmware.
The wireless adapter is a USB device that must connect to a USB host. This adapter requires a "PC with an available USB port, 1GHz CPU, and 1GByte Memory" that supports one of: "32-bit and 64-bit Windows 8/7/Vista/XP, Mac OS 10.4/10.5/10.6/10.7/10.8/10.9 and the latest version of 32-bit and 64-bit Mint, Ubuntu, Fedora, openSUSE, etc."
If you want a wireless HID, look at Cypress WirelessUSB:
http://janaxelson.com/usb.htm#wireless