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Coordinates for analytic operator algebras

Published online by Cambridge University Press:  18 May 2009

Baruch Solel
Baruch Solel
Affiliation:
Department of Mathematics and Computing Science, University of Haifa, Haifa 31999, Israel
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Let M be a σ-finite von Neumann algebra and α = {αt}t∈A be a representation of a compact abelian group A as *-automorphisms of M. Let Γ be the dual group of A and suppose that Γ is totally ordered with a positive semigroup Σ⊆Γ. The analytic algebra associated with α and Σ is

where spα(a) is Arveson's spectrum. These algebras were studied (also for A not necessarily compact) by several authors starting with Loebl and Muhly [10].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 31 , Issue 1 , January 1989 , pp. 31 - 47
Copyright
Copyright © Glasgow Mathematical Journal Trust 1989

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