Journal of Operator Theory

Volume 50, Issue 1, Summer 2003 pp. 53-66.

Takesaki duality for weights on locally compact quantum group covariant systems

Authors: Takehiko Yamanouchi
Author institution: Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060-0810, Japan

Summary: Takesaki duality for weights on a covariant system based on an action of a locally compact quantum group (in the sense of Kustermans and Vaes) on a von Neumann algebra is shown. In the course of proving the duality, we also introduce a notion of a Radon-Nikodym derivative with respect to an action and a weight.

Keywords: Locally compact quantum group, action, von Neumann algebra, Takesaki duality

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