Should I Offer My Condolences?

I was with this guy for 4 years and he constantly cheated on me. He gave me syphilis when he was cheating (he didn't know he had it until I told him I got it). He fucked one of his whores in my bed. I finally left and we've been separated for almost a year. One of my friends texted me saying you know "You know (his name) daughter died. My heart sunk. She was only 17. He may have been an awful boyfriend but one thing I can say is he loved his daughter more than anything. She showed me his mom's Facebook post. She was saying they are ruling it a suicide, even though her neck was broken. They believe her boyfriend did something to her. I loved his daughter so much. She was a really sweet girl. Should I message him and offer my condolences? He knows I cared about her. He hurt me, but nothing can compare to what he's probably going through.