Compact $2$-manifolds as maximal ideal spaces

Alfred G. Brandstein
1973 Proceedings of the American Mathematical Society  
It is shown that every compact 2-manifold is (homeomorphic to) the maximal ideal space of an antisymmetric algebra which is Dirichlet on its Silov boundary.
doi:10.1090/s0002-9939-1973-0324426-3 fatcat:lofpzpsrxjftfdhkczq5le5uza