I would say it's a bit more complicated than that. Do you understand what a market maker does?
An ECN (electronic communication network) is a virtual exchange that works with market makers. Using a rebate structure that works by paying for orders adding liquidity and charges a fee for removing liquidity. So liquidity is created by encouraging what are essentially limit orders, orders that are outside of the current market price and therefore not immediately executable. These orders stay in the book and are filled when the price of the security moves and triggers them.
So direct answer is NYSE ARCA is where market makers do their jobs. These market makers can be floor traders or algorithmic.
When you send an order through your brokerage, your broker has a number of options. Your order can be sent directly to an ECN/exchange like NYSE ARCA, sent to a market making firm like KCG Americas (formerly Knight Capital), or internalized. Internalization is when the broker uses an in house service to execute your trade.
Brokerages must disclose what they do with orders. For example etrade's.
This is a good graphic showing what happens in general along with the names of some common liquidity providers.