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]).
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© 1992 Springer-Verlag Berlin Heidelberg
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Enock, M., Schwartz, JM. (1992). Representations of a Kac Algebra; Dual Kac Algebra. In: Kac Algebras and Duality of Locally Compact Groups. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02813-1_4
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DOI: https://doi.org/10.1007/978-3-662-02813-1_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08128-6
Online ISBN: 978-3-662-02813-1
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