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A note on maximality of analytic crossed products |
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| Authors: | Tomoyoshi Ohwada Guoxing Ji Atsushi Hasegawa |
| Institution: | a Department of General Science, Tsuruoka National College of Technology, Tsuruoka 997-8511, Japan b College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, PR China c Department of Mathematical Science, Graduate School of Science and Technology, Niigata University, Niigata 950-2181, Japan d Department of Mathematical Science, Faculty of Science, Niigata University, Niigata 950-2181, Japan |
| Abstract: | Let G be a compact abelian group with the totally ordered dual group  which admits the positive semigroup  . Let N be a von Neumann algebra and  be an automorphism group of  on N. We denote  to the analytic crossed product determined by N and α. We show that if  is a maximal σ-weakly closed subalgebra of  , then  induces an archimedean order in  . |
| Keywords: | von Neumann algebra Analytic crossed product Maximality Semigroup |
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