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Morita equivalences between fixed point algebras and crossed products

Published online by Cambridge University Press:  01 January 1999

CHI-KEUNG NG
CHI-KEUNG NG
Affiliation:
Mathematical Institute, 24-29 St. Giles, Oxford OX1 3LB; e-mail: [email protected]
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Abstract

In this paper, we will prove that if A is a C*-algebra with an effective coaction ε by a compact quantum group, then the fixed point algebra and the reduced crossed product are Morita equivalent. As an application, we prove an imprimitivity type theorem for crossed products of coactions by discrete Kac C*-algebras.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 125 , Issue 1 , January 1999 , pp. 43 - 52
Copyright
Cambridge Philosophical Society 1999

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