PS3 1080p display question. (Involves running through a home theater system)

I just ordered a Sanyo PLV-Z2000 projector with a native resolution of 1080p. I also just got a Samsung home theater setup. In order to get sound I have to first run my PS3 through my home theater system via hdmi in and out to my projector. I haven't got the projector yet, but now i'm worried. My home theater system says it's maximum output signal is 720p/1080i. It upconverts dvd's to that but not very well. So my question is, if I have my PS3 set on 1080p say watching a Blu-ray disc ran through my home theater to my 1080p projector, will it actually display in 1080p or will the home theater knock down the resolution? I was under the impression that the home theater didn't actually process the video signal it just ran through it.

No, your system is only as strong as its weakest component -- in this case your reciever. It's liking getting a Honda Civic to go as fast as a Ferrari because you put it top-of-the-line fuel. Sorry man, stick with 720p though. It's still great.Ugotownedo

don't forget that some tv/projectors can upconvert pretty well. Also, I use hdmi for video/audio on my ps3 and my receiver only scales up to 480p but blu-rays and games look good regardless. Long as your content is in a high def format you shouldn't get a bad picture.