Representations of a Kac Algebra; Dual Kac Algebra

Michel Enock and Jean-Marie Schwartz
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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

Chapter Chapter 3 in Kac Algebras and Duality of Locally Compact Groups, 1992, pp 83-123 from Springer

Abstract: 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]).

Keywords: Compact Group; Banach Algebra; Fourier Representation; Fundamental Operator; Modular Operator (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1007/978-3-662-02813-1_4

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