Morita equivalences between fixed point algebras and crossed products
Abstract
Description
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.
14 pages, Latex; to appear in the Mathematical Proceedings of the Cambridge Philosophical Society
14 pages, Latex; to appear in the Mathematical Proceedings of the Cambridge Philosophical Society