Universal strong Kadison--Kastler stability
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OpenAI
We prove that sufficiently close unital von Neumann algebras are conjugate by a unitary arbitrarily close to the identity. The tolerance depends only on the prescribed distance of that unitary from the identity, uniformly over all algebras, representations, and Hilbert spaces. This resolves the strong Kadison--Kastler conjecture.
Claims
SOLUTION CLAIMED
OP-00691 — Uniform spatial stability of von Neumann algebras
Files and sources
- Paper
- math @ 1581d4c, build/main.tex ↗
- Posted on GitHub
- 6 October 2026
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