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arxiv: math/0206009 · v1 · submitted 2002-06-03 · 🧮 math.OA · math.QA

Duality of Hopf C^*-algebras

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keywords dualityhopfalgebraalgebrasgeneralreduceddefinefourier
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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.

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