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Communications in Mathematical Physics

, Volume 25, Issue 4, pp 253–275 | Cite as

Unitary implementation of automorphism groups on von Neumann algebras

  • Herbert Halpern
Article

Abstract

A necessary and sufficient continuity condition is obtained in order that a topological group of automorphisms of a semi-finite von Neumann algebra in standard form is unitarily implemented. The methods used are extended to the study of unitary implementation for a general von Neumann algebra of those automorphism groups that commute with the one-parameter modular automorphism group.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Standard Form 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1972

Authors and Affiliations

  • Herbert Halpern
    • 1
  1. 1.University of CincinnatiCincinnatiUSA

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