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Commutants of certain analytic operator algebras
Authors:Guoxing Ji   Tomoyoshi Ohwada   Kichi-Suke Saito
Affiliation:College of Mathematics and Information Science, Shaanxi Normal University, Xian, 710062, People's Republic of China ; Department of General Science, Tsuruoka National College of Technology, Tsuruoka, 997-8511, Japan ; Department of Mathematics, Faculty of Science, Niigata University, Niigata, 950-2181, Japan
Abstract:
We prove that algebraic commutants of maximal subdiagonal algebras and of analytic operator algebras determined by flows in a $ sigma$-finite von Neumann algebra are self-adjoint.

Keywords:Von Neumann algebra   subdiagonal algebra   analytic operator algebra   algebraic commutant
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