2024/03/20 by Timothy H. McNicholl, McNicholl, Timothy H.
Computer Science · Mathematics · #03D78 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO)
paper · pdf · doi:10.48550/arxiv.2403.13616
openalex publication_date 2024/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study presentations of C^*(X) that are evaluative over a presentation of X in that (f,p) ↦ f(p) is computable. We prove existence-uniqueness theorems for such presentations. We use our methods to prove an effective Banach-Stone Theorem for unital commutative C^* algebras. We also apply our results to the computable categoricity of C^* algebras and compact Polish spaces.