I have my own opinion, but I'd like to know yours: is a central bank needed in a de jure dollarized economy? I'd appreciate if you could share some texts about it.
Dollarization is a process of replacing country's domestic currency with a foreign currency. when a country abandons its currency and adopts a more stable currency the consequences is that such country would relinquish its autonomous monetary exchange rate policy, including the use of central bank credit to provide liquidity support to its banking system in emergencies
The instutute of the Nation Commircial Central Banks is helpfull for easy transfering of the inflation from dollar onto national currencies by change exchange rate of that.