Fractional ownership of residential property is already possible in the UK, without cryptocurrency:
- Set up a Declaration of Trust which defines the fraction of ownership of each of the Tenants in Common, along with other details such as what to do if one wants to sell. This is typically used by owner-occupiers.
- Purchase via a Public Limited Company, and issue shares in that company. This is typically used by investors.
- There are also fractional property ownership schemes run by housing associations.
There was even a startup attempting to streamline this process, without cryptocurrency, although it has folded already[0]. Adding cryptocurrency is only going to add new risks such as key management, exchange failure, etc. and doesn't provide any clear benefit(s) to those who don't already have a vested interest in the chosen cryptocurrency platform. Unless the idea is to use cryptocurrency to bypass the existing legal system, but that is going to expose you to the legal (not to mention moral) ramifications of it being used for tax evasion, money laundering, theft, etc.
Conversely, if we try to alleviate that, maybe a lender ends up on the hook for a call for their 10% of my $500K addition to maintain their pro-rata. That ends up subsidizing remodels which tend to pay back less than $1 for $1.