2010/07/26 by Ansgar Schneider, Schneider, Ansgar
Mathematics · #43A32 #FOS: Mathematics #Operator Algebras (math.OA) #Representation Theory (math.RT) #math.OA #math.RT #msc:43A32
paper · pdf · doi:10.48550/arxiv.1007.4391
46 pages
arxiv created 2010/07/27 · arxiv updated 2010/07/28
Pontrjagin duality is implemented in the framework of fibre bundles. By means of Pontrjagin duality triples a Fourier transform is defined by a pull-push construction operating on sections of line bundles. This yields an isomorphism of Hilbert C^*-modules which generalises the classical isomorphism between the group C^*-algebra of a group and the continuous functions vanishing at infinity on the dual group.