un 2 00 2 C * - Algebras , Approximately Proper Equivalence Relations , and Thermodynamic

Abstract

We introduce a non-commutative generalization of the notion of (approximately proper) equivalence relation and propose the construction of a " quotient space ". We then consider certain one-parameter groups of automorphisms of the resulting C*-algebra and prove the existence of KMS states at every temperature. In a model originating from Thermodynamics we… (More)

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Cite this paper

@inproceedings{Exel2002un20, title={un 2 00 2 C * - Algebras , Approximately Proper Equivalence Relations , and Thermodynamic}, author={Reinhard Exel and Ana Maria Cavalcante Lopes}, year={2002} }