On the C*-algebra of a locally injective surjection and its KMS states

Mathematics – Operator Algebras

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20 pages, no figures

Scientific paper

It shown that an a locally injective surjection on a compact metric space
admits a canonical locally homeomorphic extension such that the associated
C*-algebras are isomorphic. This is then used in a study of the possible
inverse temperatures of KMS states for a generalized gauge action.

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