Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

Full and reduced C*-coactions

John C. Quigga1

a1 Department of Mathematics, Arizona State University, Tempe, Arizona 85287, USA

Abstract

Full and reduced C*-coactions are shown to be essentially equivalent as far as the representations and cocrossed products are concerned, at least in the presence of non-degeneracy. This is shown to be particularly true for a special class of full coactions which are given the name normal.

(Received April 22 1993)

(Revised February 17 1994)