Journal of the Ramanujan Mathematical Society

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C*-Algebras Associated With Topological Relations


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1 Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4, Canada
     

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A Hilbert bimodule is associated with certain closed relations on a locally compact Hausdorff space. The Cuntz-Pimsner C*-algebra of this bimodule is a C*-algebra associated with the relation. Various examples of relations, including some that are not locally homeomorphic with the base space, and their resulting C*-algebras are considered.
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  • C*-Algebras Associated With Topological Relations

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Authors

Berndt Brenken
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4, Canada

Abstract


A Hilbert bimodule is associated with certain closed relations on a locally compact Hausdorff space. The Cuntz-Pimsner C*-algebra of this bimodule is a C*-algebra associated with the relation. Various examples of relations, including some that are not locally homeomorphic with the base space, and their resulting C*-algebras are considered.