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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Powers, R. T., Sakai, S.: Existence of ground states and KMS states for approximately inner dynamics. Commun. math. Phys. (to appear)
Doplicher, S.: An algebraic spectrum condition. Commun. math. Phys.1, 1 (1965)
Hille, E., Phillips, R. S.: Functional analysis and semigroups. Providence, R.I.: Amer. Math. Soc. colloquim. publ. 1957
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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