I am not at home, so I can't post exact specs for my Mac, but I have a similar issue. When the game client has been open for a while, if I have the store open for longer than 5 minutes, it will often crash the game client. This happens more frequently if the computer has been in use for a while before I began playing the game.
I haven't done much experimentation with it, as in all cases that this has occurred, ican simply relaunch the game and log back into the character. The store will still be open, but I can always finish what I was doing and then close it, without any difficulties. If I continue to browse the store longer than five minutes again, it will crash again, but I can, once again, relaunch and reload without problem.
I am running a 2007 iMac with Intel Core 2 Duo CPU, Radeon 1600 graphics, latest version of Snow Leopard (10.6.x), 3GB RAM.