‘Abolish ownership’ is a pretty simple talking point, how would you make it work in a legal sense?
Who determines what is your responsibility vs the neighbor vs the city? How do you establish legal boundaries for purposes of theft, vandalism, or trespassing?
Laws might seem cold (because they are) or inhumane (because they are) but they are also the thing that keeps society organized. And that makes them one of the most important human inventions. Rights are the result of laws.
If you’re concerned about land prices, or people being ‘priced out’ of things, there are important alternate solutions to that kind of problem. Things like social services, improving education, breaking up super corporations, promoting healthy neighborhood design and small business, etc.