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A spectral characterization of KMS states

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Abstract

Let ω be a state on aC*-dynamical system\((\mathfrak{A}, \mathbb{R}, \alpha )\). For each of the following properties of ω: (1) ω is β-K MS with respect to α for some given β, 0≦β<+∞, (2) ω is either a KMS state or a ground state, necessary and sufficient conditions are given involving only the spectral subspaces of\(\mathfrak{A}\) associated with α. The results provide a new insight in the concept of passivity, introduced by W. Pusz and S. L. Woronowicz.

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Authors and Affiliations

  1. Department of Mathematics, University of California, 94720, Berkeley, CA, USA

    J. De Cannière

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  1. J. De Cannière
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Communicated by H. Araki

Aangesteld navorser N.F.W.O., Belgium, on leave from Katholieke Universiteit Leuven. Research partially supported by N.A.T.O.

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De Cannière, J. A spectral characterization of KMS states. Commun.Math. Phys. 84, 187–205 (1982). https://doi.org/10.1007/BF01208567

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