Monoprice makes a great adapter that does just this (needed one myself for Blu, HDDVD, and PC-DP to my 'old' Pana 60" with DVI in). Monoprice product #5557. Use the better quality HDMI cables (#3991), then of course a basic HDMI-to-DVI plug adapter (got mine off ebay). Audio runs from the adapter box to your monitor (standard 3.5mm audio patch cable, like a headphone cable).
This setup works awesome, and I've split the audio to both my tv and stereo system.