{"id":"openai-math/Kadisons-similarity-theorem-through-uniform-derivation-estimates","pdf":"https://github.com/openai/math/blob/main/preprints/Kadisons-similarity-theorem-through-uniform-derivation-estimates-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Kadisons-similarity-theorem-through-uniform-derivation-estimates-September-23-2026","tags":["operator-algebras","c-star-algebras","functional-analysis"],"score":0,"title":"Kadison's similarity theorem through uniform derivation estimates","domain":"Operator algebras","family":"288","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.OA","summary":"We prove that every bounded complex-linear unital algebra homomorphism from a unital complex C ∗ -algebra into the bounded operators on an arbitrary Hilbert space is similar to a $`*`$-homomorphism. This resolves Kadison's similarity conjecture positively. We also obtain one universal hyperreflexivity constant for all unital von Neumann algebras on arbitrary complex Hilbert spaces.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"Kadison's similarity conjecture"}