You can use an hdmi>dvi adapter or cable. adapters are cheaper generally. This is the least problematic solution. There could be an HDCP problem with the vidcard/rec/PJ. If they are all HDCP compliant you are less likely to have issues.
alternately, MOST receivers will allow you to input an analog signal and will output to any of its avail outputs (in your case, hdmi to the PJ) This is likely to only be output at 480i/p...meaning no HD passes, at any point, over vga/s-vid (limitation of the ports and restriction of HDMI/analog conversion). In the rec. check to see that you can set the output of your HDMI out to be the input of svid1, or svid2 etc.