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Full coactions on Hilbert C*-modules

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  09 April 2009

Huu Hung Bui
Huu Hung Bui
Affiliation:
School of MPCE MacquarieUniversity SydneyNSW 2109, Australia
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Abstract

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We introduce a natural notion of full coactions of a locally compact group on a Hilbert C*-module, and associate each full coaction in a natural way to an ordinary coaction. We also introduce a natural notion of strong Morita equivalence of full coactions which is sufficient to ensure strong Morita equivalence of the corresponding crossed product C*-algebras.

MSC classification

Secondary: 46L05: General theory of $C^*$-algebras 46L60: Applications of selfadjoint operator algebras to physics
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 59 , Issue 3 , December 1995 , pp. 409 - 420
Copyright
Copyright © Australian Mathematical Society 1995

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