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Induced C*-algebras, coactions and equivariance in the symmetric imprimitivity theorem

Published online by Cambridge University Press:  01 March 2000

SIEGFRIED ECHTERHOFF  and
IAIN RAEBURN
SIEGFRIED ECHTERHOFF
Affiliation:
Westfälische Wilhelms-Universität Münster, SFB 478, Hittorfstraße 27, D-48149 Münster, Germany; e-mail: echters@math.uni-muenster.de
IAIN RAEBURN
Affiliation:
Department of Mathematics, University of Newcastle, NSW 2308, Australia; e-mail: iain@frey.newcastle.edu.au
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Abstract

The symmetric imprimitivity theorem provides a Morita equivalence between two crossed products of induced C*-algebras and includes as special cases many other important Morita equivalences such as Green's imprimitivity theorem. We show that the symmetric imprimitivity theorem is compatible with various inflated actions and coactions on the crossed products.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 128 , Issue 2 , March 2000 , pp. 327 - 342
Copyright
© The Cambridge Philosophical Society 2000

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Footnotes

This research was supported by the Australian Research Council and Deutsche Forschungsgemeinschaft (SFB 478).