For every unital expected inclusion N⊂M of von Neumann algebras with separable preduals, there is an expected unital amenable subalgebra P⊂N with P′∩c(M)=N′∩c(M), where c(M) is the continuous core.
For every unital expected inclusion N⊂M of von Neumann algebras with separable preduals, there is an expected unital amenable subalgebra P⊂N with P′∩c(M)=N′∩c(M), where c(M) is the continuous core.
For every unital expected inclusion N⊂M of von Neumann algebras with separable preduals, there is an expected unital amenable subalgebra P⊂N with P′∩c(M)=N′∩c(M), where c(M) is the continuous core.
If correct, resolves the relative bicentralizer conjecture for expected inclusions with separable preduals.
Can an expected amenable subalgebra preserve an inclusion’s relative commutant in the continuous core?
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OpenAI reports expected amenable subalgebras preserving core commutants
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