Algunos adverbios que usamos habitualmente para conectar expresiones en el discurso hablado y escrito son: 

Obviously . Obiamente. Obviusly she was guilty.

Fortunately. Afortunadamente.

Fortunatly she wasn´t injured.

Quite honestly/To be honest.  Honestamente.

Quite honestly I think she is right.

In fact. De hecho. She is not an actress.

In fact, she has never been .

Surely. Seguramente. Surely you can leave earlier.

Clearly. Claramente. Clearly,He didn´t  understand.

Apparently. Aparentemente.

Apparently she´s got engaged.

According to. Según. According to Peter, she is ill.

Amazingly. Sorprendentemente. Amazingly, Tom resigned.