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- W2937144538 abstract "We consider an action of a compact group whose dual is archimedean linearly ordered or a direct product (or sum) of such groups on a von Neumann algebra, M. We define the generalized Hardy subspace of the Hilbert space of a standard representation the algebra, and the Hardy subalgebra of analytic elements of M with respect to the action. We find conditions in order that the Hardy algebra is a hereditarily reflexive algebra of operators. In particular if every non zero spectral subspace, contains a unitary operator, the condition is satisfied and therefore the Hardy algebra is hereditarily reflexive. This is the case if the action is the dual action on a crossed product, or an ergodic action, or, if, in some situations, the fixed point algebra is a factor." @default.
- W2937144538 created "2019-04-25" @default.
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- W2937144538 date "2019-04-12" @default.
- W2937144538 modified "2023-09-27" @default.
- W2937144538 title "Invariant subspaces of generalized Hardy algebras associated with compact abelian group actions on W*-algebras" @default.
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