Duality for actions and coactions of measured groupoids on von Neumann algebras

Abstract

Relative tensor products of Hilbert spaces over abelian von Neumann algebras Coproducts of groupoid von Neumann algebras Actions and coactions of measured groupoids on von Neumann algebras Crossed products by groupoid actions and their dual coactions Crossed products by groupoid coactions and their dual actions Duality for actions on von Neumann algebras Duality for integrable coactions on von Neumann algebras Examples of actions and coactions of measured groupoids on von Neumann algebras.