For every ε>0 there is a universal δ>0 such that any two unital von Neumann algebras on the same complex Hilbert space at Kadison–Kastler distance below δ are conjugate by a unitary u with norm distance from the identity below ε.
For every ε>0 there is a universal δ>0 such that any two unital von Neumann algebras on the same complex Hilbert space at Kadison–Kastler distance below δ are conjugate by a unitary u with norm distance from the identity below ε.
For every ε>0 there is a universal δ>0 such that any two unital von Neumann algebras on the same complex Hilbert space at Kadison–Kastler distance below δ are conjugate by a unitary u with norm distance from the identity below ε.
If correct, resolves the strong Kadison–Kastler conjecture uniformly over algebras, representations and Hilbert spaces.
Are sufficiently close von Neumann algebras always conjugate by a near-identity unitary?
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