On the maximality of subdiagonal algebras

Details On the maximality of subdiagonal algebras On the maximality of subdiagonal algebras

2005-05-14

arxiv.org/abs/math/0505304v1

Mathematics

Operator Algebras

To appear in J. Operator Theory

Scientific paper

We consider Arveson's problem on the maximality of subdiagonal algebras. We
prove that a subdiagonal algebra is maximal if it is invariant under the
modular group of a faithful normal state which is preserved by the conditional
expectation associated with the subdiagonal algebra.

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