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Imprimitivity for C*-coactions of non-amenable groups

Published online by Cambridge University Press:  01 January 1998

S. KALISZEWSKI
Affiliation:
Department of Mathematics, University of Newcastle, Newcastle, New South Wales 2308, Australia; e-mail: kaz@frey.newcastle.edu.au
JOHN QUIGG
Affiliation:
Department of Mathematics, Arizona State University, Tempe, Arizona 85287; e-mail: quigg@math.la.asu.edu

Abstract

We give a condition on a full coaction (A, G, δ) of a (possibly) non-amenable group G and a closed normal subgroup N of G which ensures that Mansfield imprimitivity works; i.e. that A×δ[mid ]G/N is Morita equivalent to A×δG×δˆrN. This condition obtains if N is amenable or δ is normal. It is preserved under Morita equivalence, inflation of coactions, the stabilization trick of Echterhoff and Raeburn, and on passing to twisted coactions.

Type
Research Article
Copyright
Cambridge Philosophical Society 1998

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Footnotes

This research was partially supported by the National Science Foundation under Grant No. DMS9401253, and by the Australian Research Council.