Journal of Operator Theory

Volume 38, Issue 2, Fall 1997 pp. 203-224.

Morphisms of multiplicative unitaries

Authors: Chi-Keung Ng
Author institution:Mathematical Institute, Oxford University, 24-29 St. Giles, Oxford OX1 3LB, UNITED KINGDOM. E-mail: ng@maths.ox.ac.uk

Summary: In this paper we will give a natural definition for morphisms between multiplicative unitaries. We will then discuss some equivalences of this definition and some interesting properties of them. Moreover, we will define normal sub-multiplicative unitaries for multiplicative unitaries of discrete type and prove an imprimitivity type theorem for discrete multiplicative unitaries.

Keywords: Hopf C*-algebras, multiplicative unitaries, morphisms.

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