nitrous and turbine engines

Ok so i was having this argument with a guy at work about wether or not you could have nitrous on a turbine engine. I said you could because a turbine engien heats up to well over 500 degrees and therefore you could have a wet system setup to add nitrous and fuel behind the compressor. he said it wouldn't work because of something about sucking supersonic air, he was thinking planes but i think it's irrelevant what the speed of the air coming in is, you spray nitrous behind the compressor and it's going to enter the combustion chamber or flame holder and it's going to decompose and provide more oxygen and therefore more potential to burn fuel. I'd like to clear this up because it would be sweet to built a turbine engine into a car ( i know they aren't well suited for street use because they have no low end torque and they need to spool up and such but it doesn't matter to me because no one would have anything like that unless they owned a chrysler prototype car with a turbine engine in it), and i believe that nitrous might help with the problem of low end torque, of course a cvt with a high ratio rear end (like 4.50:1 or something) would help as well but it's too obvious a setup, i might try it if i have the money, time, and if i actually try this but let's save that decision for then. anyway could someone clear this up for me, i'd like some irefutable facts that i could throw in his face and laugh as he cries at my superior mind (it's been a long day, sorry for the retardedness of my post).

one problem i might see is a slight loss of power that only lasts a fraction of a second because the decompressing nitrous would cool the intake and that isn't good for turbine engines but as soo as the nitrous got to working it would provide a hotter flame and more power.

if you're talking about a jet engine with an afterburner, the best place to add it would be into the afterburner. Also, you wouldn't want to intruduce the nitrous into the compressor, that would be like shooting nitrous straight into the combustion chamber. You'd want to introduce it in front of the compressor where it wouldn't make much of a temperature difference.

in a turbojet engine would it make much of a difference in thrust? that was another thiing he brought up that if you used it you'd get a negligable increase in thrust.

I don't think you'd get a huge difference in max thrust since max thrust is usually limited by how fast the compressor can safely turn, but what it would do is let you reach max thrust alot faster, which say, on a large jet on a short runway, could make a significant difference.