paper

On the maximality of subdiagonal algebras

arXiv:math/0505304

Abstract

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.

To appear in J. Operator Theory

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On the maximality of subdiagonal algebras · wovepaper