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occurred Jul 15, 2019 at 23:38

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edited Jul 15, 2019 at 15:46

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oa.operator-algebras operator-theory von-neumann-algebras

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asked Jul 15, 2019 at 15:28

TVS_integration

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Extension of trace on von Neumann subalgebra

Let $R$ be a finite von Neumann algebra and $S$ be a von Neumann subalgebra of $R$. Does every normal tracial state on $S$ extend to a normal tracial state on $R$?

oa.operator-algebras operator-theory