If my online accounts such as Paypal or Google Wallet have activity, I am immediately notified when a transaction takes place. This allows me to verify my own purchases are being processed correctly, and also serves as an early warning system if someone has fraudulently used my account. I would like to see this same functionality built into the BECU credit cards and debit cards as an option that the user can turn on or off through user preferences in the BECU online banking portal.
As someone who has been the victim of identity theft on two occasions, I can confirm that this would have been the quickest way to have been alerted to the activity in order to call the bank and intervene. The model is already in place for companies like Paypal and Google, so there should not be any reinventing the wheel, just copy what they are doing and allow the user to choose which email address to send the alerts to.