USB is not a video channel, unless you had some kind of converter as well which would take a data stream from a USB bus and convert it into an HDMI format, what you want to do is not going to work.
Does your TV and/or desktop not have a VGA or DVI port? There are VGA and DVI to HDMI converters, (though since VGA is analog you would never keep the digital quality of HDMI), but neither VGA nor DVI handle audio so you would not be able to channel audio through them either.