Sheaf theory and Paschke duality

Author:

Roe John,Siegel Paul

Abstract

AbstractLet 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.

Publisher

Cambridge University Press (CUP)

Subject

Geometry and Topology,Algebra and Number Theory

Reference19 articles.

1. Positive scalar curvature and the Dirac operator on complete riemannian manifolds

2. Sheaves of C*-algebras

3. Siegel Paul , Homological calculations with the analytic structure group, PhD thesis, Penn State, 09 2012.

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