SR4A, p. 237: "An icon crashes when all the boxes on its Matrix Condition Monitor are filled. If your persona icon crashes, you are immediately disconnected from the Matrix, as with the Jack Out action. If you were operating in VR, you suffer dumpshock when this happens."
As for jacking out*: They don't actually state that a reboot is necessary. Problem is, you can't run any programs while your persona is non grata. You'd probably need to reboot just to get it back online.
* By the way, do NOT Google this term under any circumstances. You've been warned. Don't come crying to me when your eyes start melting.