Bitcoin Cash works like other currency transactions that take place using Bitcoin blockchain technology.
Transactions are recorded in “blocks” of data that act as ledgers. These ledgers are distributed across the network, instead of being held in a central location. The addresses of wallets are usually a string of numbers and letters. It’s possible to see how much Bitcoin Cash one addresses sent to another, and get an idea of who owns what (or at least an idea of which addresses own how many Bitcoin Cash coins).
While some say cryptocurrencies are anonymous, the reality is that transactions are public on the ledger. Someone with the right know-how could track down who controls the wallet. However, because wallets appear as a string of numbers, it’s somewhat acceptable to say that transactions are at least semi-private.
The underlying idea is that transactions are verified through cryptography and other processes so that the network is trustworthy and reasonably secure.