EASYDEX.US is actually a User Issued Asset that EasyDEX created. Each EASYDEX.US coin is pegged to the value of $1 USD. It's basically the same as Open.USD which is the UIA from Openledger.
It's not like bitUSD because that's a trustless smartcoin.
If you transfer EUR into the EasyDEX then you will receive EASYDEX.EU. They will provide the needed liquidity for the EASYDEX.EU/BTS market so you can do something with your deposit.
Right so it follows bitUSD which is a smartcoin but it isn't a smartcoin, so why do I have to trust a coin?