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A remark on a theorem of Powers and Sakai

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Abstract

Given an abelian locally compact groupG and aC*-algebra with unit,U, the set of those continuous representations ofG by automorphisms ofU which fulfill a spectrum condition is closed.

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References

  1. Powers, R. T., Sakai, S.: Existence of ground states and KMS states for approximately inner dynamics. Commun. math. Phys. (to appear)

  2. Doplicher, S.: An algebraic spectrum condition. Commun. math. Phys.1, 1 (1965)

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  3. Hille, E., Phillips, R. S.: Functional analysis and semigroups. Providence, R.I.: Amer. Math. Soc. colloquim. publ. 1957

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Authors and Affiliations

  1. Istituto Matematico “G. Castelnuovo”, Università di Roma, I-00185, Roma, Italy

    S. Doplicher

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  1. S. Doplicher
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Communicated by H. Araki

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Doplicher, S. A remark on a theorem of Powers and Sakai. Commun.Math. Phys. 45, 59–61 (1975). https://doi.org/10.1007/BF01609866

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  • DOI: https://doi.org/10.1007/BF01609866

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