Duality of Hopf $C^*$-algebras

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In this paper, we study the duality theory of Hopf $C^*$-algebras in a general ``Hilbert-space-free'' framework. Our particular interests are the ``full duality'' and the ``reduced duality''. In order to study the reduced duality, we define the interesting notion of Fourier algebra of a general Hopf $C^*$-algebra.
It is a shortened version of a paper with the same title that was in circulation since 1998. To be published in the International Journal of Mathematics

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