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.
机构:
NRF CoE Math & Stat Sci Pure & Appl Analyt, Stat Sci, DSI, Internal Box 209,BAG X6001, ZA-2520 Potchefstroom, South AfricaUniv Houston, Dept Math, Houston, TX 77204 USA