94-153 Borchers H.-J.
Theory of Local Observables and KMS--Condition (38K, TeX) Jun 1, 94
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Abstract. We will look at C$^*$--dynamical systems with the translations of $\BR^d$ as dynamical group and will define KMS--functionals for $\beta$ taking values in $\BC^d$. The properties of such functionals will be investigated. In particular if a KMS--functional exists for a complex $\beta$ then it will be shown that there exists a KMS--state for the real part of $\beta$. If the system is a theory of local observables then it will be shown that locality condition implies that there do not exist $\beta$--KMS--functionals such that $\beta$ is spacelike or has a spacelike real part.

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