I think there are several projects trying to solve this, but DLT can make an impact in secondary markets for privately held equity. Ownership is difficult to verify, settlement is complicated, and there are many rules that govern the transfer of privately held shares. Nasdaq Private Market has been using (or at least evaluating) DLT/blockchain since 2014 when it was SecondMarket. Harbor, Polymath, Securitize etc are sort-of making an approach to this, but it's heavily token and ICO driven.