This is a good explanation for Bitcoin-type ledger, but as far as I understand, banks don't share a global ledger. In US they run settlements through FED, which is the closest thing to global ledger we got, but internally they keep their own separate ledgers. Fed sees settlements between banks, but allocation within a bank is done via internal transactions. If you wanted to give banks a transfer rail that allows them to communicate directly incurring liability, and later settle via FED, you would need to write a transaction in each bank's ledger.