Then again if wife made a voluntary gift of some ring to hubby it would now be hubby's? But the long run costs to prove a point may not be worth it?
The parties could address equitable split of assets acquired during the marriage time (but not before).
The courts probably do not care who slept where --adulty is a rather non legal issues most places. (Matters in a few --but if you go there it probably is not going to be cost effective if the real goal is to cut the ties...)
You need to properly follow all the steps until the divore gets dissolved---1/2 way doesn't count.