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Classical Crossed Products

In: Analysis and Quantum Groups

Author

Listed:
  • Lars Tuset

    (Oslo Metropolitan University, Department of Computer Science)

Abstract

Since in the remaining part of this text we will study various crossed products associated to quantum groups, it makes sense to begin with a small chapter on crossed products of C∗-dynamical systems of locally compact groups. Such systems are defined just as von Neumann dynamical systems except for the fact that we consider continuity with respect to norm. A crossed product is then a certain C∗-algebra describing the dynamical system. This interplay between dynamical systems and C∗-algebras is useful for studying such systems by C∗-algebra techniques, and conversely, in constructing new C∗-algebras from old ones by introducing such systems.

Suggested Citation

  • Lars Tuset, 2022. "Classical Crossed Products," Springer Books, in: Analysis and Quantum Groups, chapter 0, pages 419-435, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-07246-8_14
    DOI: 10.1007/978-3-031-07246-8_14
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