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Sheaf theory and Paschke duality

Abstract
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.

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Department of Mathematics, Penn State University, University Park PA 16802, USAjohn.roe@psu.edu
Department of Mathematics, Columbia University, 2990 Broadway, New York, NY 10027, USAsiegel@math.columbia.edu
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Journal of K-Theory
  • ISSN: 1865-2433
  • EISSN: 1865-5394
  • URL: /core/journals/journal-of-k-theory
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