Vol. 90, No. 2, 1980

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On the decomposition of states of some -algebras

Françoise Mathot

Vol. 90 (1980), No. 2, 411–424
Abstract

We study the direct integral decomposition of Op-algebras defined on a metrizable, dense domain of a separable Hilbert space. Applications to the decomposition into irreducible representations and into extremal states of representations and states of -algebras with a countable dominating subset are given.

Mathematical Subject Classification 2000
Primary: 46K10
Secondary: 46L30, 47D40
Milestones
Received: 12 July 1979
Published: 1 October 1980
Authors
Françoise Mathot