Journal article
Analytic Subalgebras of Von Neumann Algebras
Canadian journal of mathematics, Vol.39(1), pp.74-99
02/01/1987
DOI: 10.4153/CJM-1987-005-4
Abstract
Let M be a von Neumann algebra and let {α
t
}
t∊R
be a σ-weakly continuous flow on M; i.e., suppose that {α
t
}
t∊R
is a one-parameter group of *-automorphisms of M such that for each ρ in the predual, M∗, of M and for each x ∊ M, the function of t, ρ(α
t
(x)), is continuous on R. In recent years, considerable attention has been focused on the subspace of M, H∞(α), which is defined to be
where H
∞(R) is the classical Hardy space consisting of the boundary values of functions bounded analytic in the upper half-plane. In Theorem 3.15 of [8] it is proved that in fact H∞(α) is a σ-weakly closed subalgebra of M containing the identity operator such that
is σ-weakly dense in M, and such that
Details
- Title: Subtitle
- Analytic Subalgebras of Von Neumann Algebras
- Creators
- Paul S Muhly - The University of Iowa, Iowa City, IowaKichi-Suke Saito - The University of Iowa, Iowa City, Iowa
- Resource Type
- Journal article
- Publication Details
- Canadian journal of mathematics, Vol.39(1), pp.74-99
- DOI
- 10.4153/CJM-1987-005-4
- ISSN
- 0008-414X
- eISSN
- 1496-4279
- Publisher
- Cambridge University Press
- Number of pages
- 26
- Alternative title
- VON NEUMANN ALGEBRAS; P. S. MUHLY AND K.-S. SAITO
- Language
- English
- Date published
- 02/01/1987
- Academic Unit
- Statistics and Actuarial Science; Mathematics
- Record Identifier
- 9984083293002771
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