Communications in Mathematical Physics

, Volume 5, Issue 1, pp 1–22 | Cite as

Large groups of automorphisms of C*-algebras

  • Erling Størmer
Article
Received:

Abstract

Groups of *-automorphisms ofC*-algebras and their invariant states are studied. We assume the groups satisfy a certain largeness condition and then obtain results which contain many of those known for asymptotically abelianC*-algebras and for inner automorphisms and traces ofC*-algebras. Our key result is the construction in certain “finite” cases, where the automorphisms are spatial, of an invariant linear map of theC*-algebra onto the fixed point algebra carrying with it most of the relevant information.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Relevant Information 
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Copyright information

© Springer-Verlag 1967

Authors and Affiliations

  • Erling Størmer
    • 1
  1. 1.University of OsloOsloNorway

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