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Kadison's similarity theorem through uniform derivation estimates

OpenAI

OpenAI Mathopenai-math/Kadisons-similarity-theorem-through-uniform-derivation-estimatesSep 23, 2026math.OAAI-generatedscore 0

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.

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