Can I display my computer on my TV without cable (wireless, bluetooth, etc.)?
several applications for this :
Display at entrance of facility
Presentations in a remote location
Perhaps, it depends on your computer, Mac or Windows.
On a Mac you can use Airplay on Your Mac to connect to an Apple TV box, $99. some users report audio not going to TV initially and have found some work arounds for this issue. Google It.
Some Newer Windows PC's support WIDI. I personally have used this with a Netgear WIDI receiver to HDMI and was able to watch Netflix wirelessly on a hotel tv. its not perfect yet, but it did work fairly well. In the future WIDI could become as standard as WIFI. Time will tell.
Hope this Helps!
You can Google It and find lots of Info...
There's always newer tech. being designed, WIFI Direct is another promising standard in its infancy that could be more universal than WIDI.
Good Luck