Computable Gelfand duality
Peter Burton, Christopher J. Eagle, Alec Fox, Isaac Goldbring, Matthew Harrison‐Trainor, Timothy H. McNicholl, Alexander Melnikov, Teerawat Thewmorakot · Proceedings of the American Mathematical Society · 2026
We establish a computable version of Gelfand Duality. Under this computable duality, computably compact presentations of metrizable spaces uniformly effectively correspond to computable presentations of unital commutative C ∗ \mathrm {C}^* -algebras.