Geodesic
Algebras of Analytic Operators associated with a Periodic Flow on a Von Neumann Algebra
Canadian journal of mathematics, Tome 37 (1985) no. 3, pp. 405-429

Voir la notice de l'article provenant de la source Cambridge University Press

Let M be a σ-finite von Neumann algebra and {σt }t∊T be a σ-weakly continuous representation of the unit circle, T, as *-automorphisms of M. Let H ∞(σ) be the set of all x ∊ M such that The structure of H ∞(σ) was studied by several authors (see [2-13]).The main object of this paper is to study the σ-weakly closed subalgebras of M that contain H ∞(σ). In [12] this was done for the special case where H ∞(σ) is a nonselfadjoint crossed product.Let Mn , for n ∊ Z, be the set of all x ∊ M such that 
Solel, Baruch. Algebras of Analytic Operators associated with a Periodic Flow on a Von Neumann Algebra. Canadian journal of mathematics, Tome 37 (1985) no. 3, pp. 405-429. doi: 10.4153/CJM-1985-024-3
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