Why not create community 'owned' housing, similar to a worker co-op, where poorer communities collectively 'own' the location. Everyone pays area-rental fees, but each month rented = 1 share ownership. Once the mortgage is paid off, the rent goes towards buying more rental properties and rinsing/repeating. A % of all rents is divided out by shares to each renter or ex-renter. A % could also go to LeBron's public school as a donation.

Obviously the longer you stay at a place and the smaller the place the more shares you'd have in the place. Shares could also = voting rights on properties/etc... More votes = louder voice.

Think of it as privatized (not government-ran) socialism in the real estate market.