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Imprimitivity for C*-coactions of non-amenable groups

Published online by Cambridge University Press:  01 January 1998

S. KALISZEWSKI  and
JOHN QUIGG
S. KALISZEWSKI
Affiliation:
Department of Mathematics, University of Newcastle, Newcastle, New South Wales 2308, Australia; e-mail: [email protected]
JOHN QUIGG
Affiliation:
Department of Mathematics, Arizona State University, Tempe, Arizona 85287; e-mail: [email protected]
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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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 123 , Issue 1 , January 1998 , pp. 101 - 118
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.