Duality of Hopf $C^*$-algebras

Details Duality of Hopf $C^*$-algebras Duality of Hopf $C^*$-algebras

2002-06-03

arxiv.org/abs/math/0206009v1

Mathematics

Operator Algebras

It is a shortened version of a paper with the same title that was in circulation since 1998. To be published in the Internatio

Scientific paper

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.

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