English

On the maximality of subdiagonal algebras

Operator Algebras 2007-05-23 v1 Functional Analysis

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.

Keywords

Cite

@article{arxiv.math/0505304,
  title  = {On the maximality of subdiagonal algebras},
  author = {Quanhua Xu},
  journal= {arXiv preprint arXiv:math/0505304},
  year   = {2007}
}

Comments

To appear in J. Operator Theory

R2 v1 2026-07-22T17:19:24.398Z