Journal of K-theory: K-theory and its Applications to Algebra, Geometry, and Topology

Research Article

Sheaf theory and Paschke duality

John Roe c1 and Paul Siegel c2

Abstract

Let X be a locally compact metrizable space. We show that the Paschke dual construction, which associates to a representation of C 0(X) its commutant modulo locally compact operators, can be sheafified. We use this observation to simplify several constructions in analytic K-homology.

(Received November 12 2012)

Key Words

  • K-homology;
  • Paschke dual;
  • sheaf theory;
  • excision

Mathematics Subject Classification 2010

  • 46L80;
  • 19K33;
  • 58J22

Correspondence

c1 Department of Mathematics, Penn State University, University Park PA 16802, USA john.roe@psu.edu

c2 Department of Mathematics, Columbia University, 2990 Broadway, New York, NY 10027, USA siegel@math.columbia.edu