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Unbounded derivations commuting with compact group actions

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Abstract

Let δ be a closed * derivation in aC* algebra\(\mathfrak{A}\) which commutes with an ergodic action of a compact group on\(\mathfrak{A}\). Then δ generates aC* dynamics of\(\mathfrak{A}\). Similar results are obtained for non-ergodic actions on abelianC* algebras and on the algebra of compact operators.

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Authors and Affiliations

  1. Department of Mathematics, University of Pennsylvania, 19104, Philadelphia, PA, USA

    F. Goodman

  2. Mathematics Institute, Aarhus University, Ny Munkegade, DK-8000, Aarhus C, Denmark

    P. E. T. Jorgensen

Authors
  1. F. Goodman
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  2. P. E. T. Jorgensen
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Additional information

Communicated by H. Araki

Research supported by N.S.F.

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Goodman, F., Jorgensen, P.E.T. Unbounded derivations commuting with compact group actions. Commun.Math. Phys. 82, 399–405 (1981). https://doi.org/10.1007/BF01237047

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  • DOI: https://doi.org/10.1007/BF01237047

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