As a matter of fact (hakikatte, doğrusu)

He says that he can play bridge but, as a matter of fact, he can't.
Briç oynayabileceğini söyler fakat hakikatte oynayamaz.

As a matter of fact, he isn't a good man at all.
Doğrusu, o hiç iyi bir adam değildir.

As a matter of fact, I didn't think that you could succeed.
Doğrusu, muvaffak olabileceğinizi zannetmedim.