Capitalism can disappear yet there would still be classes. Societies such as the ancient Vedic civilization had its varnas – priests, warriors/rulers, merchants, and servants – and according to the Rig Veda they came into existence with the primordial sacrifice of the Cosmic Being by the Devas. So for the Vedic civilization class was not so much economic as it was transcendent. Many of today's British people suss out one's class not so much according to one's wealth but one's behaviour, accent, mannerisms, tastes, etc. The concept of class will always exist and therefore there cannot be radical equality.I advocate the ownership of the means of production by the whole of humanity, a society in which there is no class.
Does equality totally depend on everybody owning the fruits of human labour? There will continue to be the Muslim and the kafir, the Jew and the Gentile, the Hellene and the barbarian, the priests and the laity, the parents and the children. No society can enforce radical equality between these distinctive people. So what if everybody in Bosnia and Herzegovina, for instance, owned the means of production and all owned the fruits of labour? The laic in an Orthodox diocese will never have the status a priest has, the kafir will never be the brother of a Muslim, and a son will not have democratic privileges in the house of his parents.In such a society, there would be no need to "enforce" equality, because the fruits of human labor would already be owned by everyone.
What if some people simply refuse to work? "I don't owe society nothing!" Do they still receive according to their needs? By the way I am fully aware that most people would not be idle because almost all of us have a creative impulse and do want a pleasant world to live in.Society would be structured on a model of "from each according to his ability, to each according to his needs". In a scenario where the accumulation of wealth is impossible (because capital is dead) and the accumulation of power is impossible (because the state is dead), there's no need force people to do anything.
I think that even if capital were abolished there would still be the accumulation of wealth because wealth doesn't have to be measured in legal tender. There will be people who accumulate wealth in the form of precious metals and precious gems, and those things are inherently more valuable than cookies and sweaters.
Power can be accumulated without the existence of the state as we know it today. All it takes is people, weapons, a will, a plan, and just doing it.
If society is synonymous with the market then I don't want to live in that society.As for who maintains it, the workers maintain their own workplace. I imagine there would be some sort of successor to a conventional "state" in the form of a group of professionals trained in making sure goods go to where they're supposed to go, but most of that could probably be taken care of with computers.
So then a techno-aristocracy? I thought you were an anarchist!

Cheers!