2002/06/03 by Chi-Keung Ng, Ng, Chi-Keung
Mathematics · #46L55 #46L89 #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math.OA #math.QA #msc:46L55 #msc:46L89
paper · pdf · doi:10.48550/arxiv.math/0206009
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
arxiv created 2002/06/03 · arxiv updated 2009/11/30
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.