Morita equivalences between fixed point algebras and crossed products

Details Morita equivalences between fixed point algebras and crossed products Morita equivalences between fixed point algebras and crossed products

1997-09-11

arxiv.org/abs/funct-an/9709002v1

Mathematics

Operator Algebras

14 pages, Latex; to appear in the Mathematical Proceedings of the Cambridge Philosophical Society

Scientific paper

In this paper, we will prove that if $A$ is a $C^*$-algebra with an effective
coaction $\epsilon$ 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.

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