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Physical states on a $ C\sp*$-algebra


Authors: Charles A. Akemann and Stuart M. Newberger
Journal: Proc. Amer. Math. Soc. 40 (1973), 500
MSC: Primary 46E25; Secondary 46L05
DOI: https://doi.org/10.1090/S0002-9939-1973-0318860-5
MathSciNet review: 0318860
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Abstract: When a locally compact Hausdorff space $ X$ is totally disconnected, any doubly generated subalgebra of (real) $ {C_0}(X)$ is singly generated.


References [Enhancements On Off] (What's this?)

  • [1] J. Aarnes, Physical states on a $ {C^ \ast }$-algebra, Acta Math. 122 (1969), 161-172. MR 40 #747. MR 0247482 (40:747)
  • [2] C. Rickart, General theory of Banach algebras, University Series in Higher Math., Van Nostrand, Princeton, N.J., 1960. MR 22 #5903. MR 0115101 (22:5903)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0318860-5
Article copyright: © Copyright 1973 American Mathematical Society

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