I tried to create a mail notification application.
WAP PUSH (mail received, etc.) is received and notify you by notification ringtone.
In addition, the status bar (the notification bar) to not display. Just inform the reception only.
If you select Connect Wi-Fi, Wi-Fi will be connected when receiving.
If you care about the work ,I recommend that you try the FREE version.
https://market.android.com/details?id=jp.PinwheelM101.WaPushReceiverFree
Tag: mail status bar notification Wi-Fi e-mail notify wifi WAP PUSH