The KMS condition and spectral passivity in group duality |
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Authors: | CJK Batty |
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Institution: | Department of Mathematics, University of Edinburgh, King''s Buildings, Edinburgh EH9 3JZ, Scotland |
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Abstract: | Let (A, G, α) be a C1-dynamical system, where G is abelian, and let φ be an invariant state. Suppose that there is a neighbourhood Ω of the identity in and a finite constant κ such that whenever xi lies in a spectral subspace , where . This condition of complete spectral passivity, together with self-adjointness of the left kernel of φ, ensures that φ satisfies the KMS condition for some one-parameter subgroup of G. |
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