Yamanouchi, Takehiko Takesaki duality for weights on locally compact quantum group covariant systems. (English) Zbl 1036.46056 J. Oper. Theory 50, No. 1, 53-66 (2003). Summary: Takesaki duality for weights on a covariant system based on an action of a locally compact quantum group (in the sense of J. Kustermans and S. Vaes) on a von Neumann algebra is shown. In the course of proving the duality, we also introduce a notion of Radon-Nikodym derivative with respect to an action and a weight. Cited in 4 Documents MSC: 46L65 Quantizations, deformations for selfadjoint operator algebras 22D25 \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations 46L10 General theory of von Neumann algebras 81R50 Quantum groups and related algebraic methods applied to problems in quantum theory Keywords:locally compact group; action; Takesaki duality; von Neumann algebra PDFBibTeX XMLCite \textit{T. Yamanouchi}, J. Oper. Theory 50, No. 1, 53--66 (2003; Zbl 1036.46056)