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Representations of a Kac Algebra; Dual Kac Algebra

In: Kac Algebras and Duality of Locally Compact Groups

Author

Listed:
  • Michel Enock

    (Université Pierre et Marie Curie, CNRS, Laboratoire de Mathématiques Fondamentales)

  • Jean-Marie Schwartz

    (Université Pierre et Marie Curie, CNRS, Laboratoire de Mathématiques Fondamentales)

Abstract

In this chapter, we shall use the notations hereafter: K = (M, Г, k, ϕ) will be a Kac algebra, λ its Fourier representation, W its fundamental operator and M the von Neumann algebra generated by λ. This chapter deals with the representations of the Banach algebra M*, following Kirchberg ([79]) and de Cannière and the authors ([21]), and the construction of the dual Kac algebra, as found independently by the authors ([34]) and Vainermann and Kac ([180]).

Suggested Citation

  • Michel Enock & Jean-Marie Schwartz, 1992. "Representations of a Kac Algebra; Dual Kac Algebra," Springer Books, in: Kac Algebras and Duality of Locally Compact Groups, chapter 0, pages 83-123, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-02813-1_4
    DOI: 10.1007/978-3-662-02813-1_4
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