In my case, absolutely not. I do not even acknowledge my father in real life and I would not invite him (for any occasion) to any event in my life (including a wedding) for all the money in the world. Not even on his (or my) deathbed.
There is this age-old 'rule' to 'respect' your parents (that some people still force themselves to abide by). However, I do not allow any toxic people in my life. No exceptions.
Just because someone happens to be related to you does not give them a 'get out jail free card' for past transgressions (or future ones). Especially when they are a person (like my narcissist father) who will never admit or acknowledge any wrong-doing (much less ever be remorseful about it).
With my mother, on the other hand, was (and is) a (functioning) alcoholic (which began when my father first started abusing her), this again does not excuse her from everything she did to me.
I do have some degree of empathy for her (witnessing what she endured while I was growing up), and therefore I am cordial to her, for the sake of being polite. Although to this day, she will never admit either to any fault (or things she did to me growing up). That is why (in her case) I may speak to her once or twice a year (on holidays) with a phone call, but that is the most she will ever get from me.
When a person shows absolutely no remorse (or acknowledgement) for (repeated) wrongdoings they did to you, you do not owe them anything.
If you tiptoe around things or ignore it (playing along and acting like years of terrible things never even happened), you are basically saying it was all 'ok'. And it's not.
I cannot un-do the past, but my future belongs to me. I respect myself enough to know that and stick to it.