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Sheaf theory and Paschke duality

Published online by Cambridge University Press:  28 August 2013

John Roe  and
Paul Siegel
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Abstract

Let X be a locally compact metrizable space. We show that the Paschke dual construction, which associates to a representation of C0(X) its commutant modulo locally compact operators, can be sheafified. We use this observation to simplify several constructions in analytic K-homology.

Keywords

K-homologyPaschke dualsheaf theoryexcision46L8019K3358J22

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Type
Research Article
Information
Journal of K-Theory , Volume 12 , Issue 2 , October 2013 , pp. 213 - 234
Copyright
Copyright © ISOPP 2013 

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