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Algebras of Analytic Operators associated with a Periodic Flow on a Von Neumann Algebra

Published online by Cambridge University Press:  20 November 2018

Baruch Solel
Baruch Solel*
Affiliation:
Dalhousie University, Halifax, Nova Scotia
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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

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 37 , Issue 3 , 01 June 1985 , pp. 405 - 429
Copyright
Copyright © Canadian Mathematical Society 1985

References

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