Haagerup's 1978 reduction theorem is proved for all von Neumann algebras with faithful normal semifinite weights, enabling full noncommutative H^p-space theory, and a new notion of approximately subdiagonal subalgebras is introduced.
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An extension of Haagerup's reduction theorem with applications to subdiagonal subalgebras of general von Neumann algebras
Haagerup's 1978 reduction theorem is proved for all von Neumann algebras with faithful normal semifinite weights, enabling full noncommutative H^p-space theory, and a new notion of approximately subdiagonal subalgebras is introduced.