If you have the wireless router, the the PS2 needs a wifi client device and not a WAP! Here's a simple solution IF you already have the wireless router.
I am concerned that I may be purchasing the wrong piece of equipment. I have recently purchased a wireless router and I decided that I want to be able to play my PS2 on a a different floor of my house without running any Cat5 through my house. So I ordered a wireless access point. I plan on plugging my Cat5 into the access point and have it broadcast to my router I am not sure if that is the way the access points work though help if you can please