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

About this Title

Takehiko Yamanouchi

Publication: Memoirs of the American Mathematical Society
Publication Year: 1993; Volume 101, Number 484
ISBNs: 978-0-8218-2545-7 (print); 978-1-4704-0061-3 (online)
DOI: https://doi.org/10.1090/memo/0484
MathSciNet review: 1127115
MSC: Primary 46L55; Secondary 22D25, 22D35, 46L10

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Table of Contents

Chapters

  • 0. Introduction
  • 1. Relative tensor products of Hilbert spaces over abelian von Neumann algebras
  • 2. Coproducts of groupoid von Neumann algebras
  • 3. Actions and coactions of measured groupoids on von Neumann algebras
  • 4. Crossed products by groupoid actions and their dual coactions
  • 5. Crossed products by groupoid coactions and their dual actions
  • 6. Duality for actions on von Neumann algebras
  • 7. Duality for integrable coactions on von Neumann algebras
  • 8. Examples of actions and coactions of measured groupoids on von Neumann algebras