I agree that there exist certain difficulties with how humanity deals with the concept of ownership in its various permutations. The concept itself however appears almost unavoidable if one wishes to assert or accept the concept of individual rights, a core principle of which necessitates the concept of self-ownership.
Self-ownership does not appear to necessitate violence to instantiate, but unfortunately it does all too often appear necessary to preserve it. I suspect that some degree of your statement that "establishment of ownership centers on violence and force" is a consequence of some people wanting to own others and the products of the labor rather than barter for it with something they themselves had to work for.
In that respect perhaps currency can be seen as problematic for its ability to serve as a placeholder for subjectively determined value in that enables a rather broader pillaging of the unwilling. Now the coercive collectivists can simply demand dollar or gold or whatever rather than be limited to accepting whatever it is that an individual would otherwise have to offer. Very interesting line of thought, Soo!