I have experience with nephrite. Let's be exact the other is jadite, not jade.
I once cut a black nephrite round band about 2 mm in breath and 1 mm
in thickness. In the process of cutting I dropped it on a concrete
floor. I heard a ‘ping’ as it hit the floor. I still have the ring
and it’s as new.
How can a gold band be put around the outside of a jade ring?
You could cast a 18K band into which the nephrite band would fit. One
side of the band would have an edge equal to the thickness of the
nephrite. The other side would have an equivalent dimension of metal
sticking straight up ( L )which you could then hammer down to
enclose the nephrite band.
Just a thought.
KPK