Proper actions, fixed-point algebras and naturality in nonabelian duality

Authors

S. Kaliszewski, Arizona State University
John Quigg, Arizona State University
Iain F. Raeburn, University of WollongongFollow

RIS ID

24168

Publication Details

Kaliszewski, S., Quigg, J. C. & Raeburn, I. F. (2008). Proper actions, fixed-point algebras and naturality in nonabelian duality. Journal of Functional Analysis, 254 (12), 2949-2968.

Abstract

Suppose a locally compact group G acts freely and properly on a locally compact Hausdorff space X, and let y be the induced action on C0(X). We consider a category in which the objects are C(star) -dynamical systems (A,G,x) for which there is an equivariant homomorphism of (cO(X),y) into the multiplier algebra M(A).