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We construct and normalise intertwining operators at the level of Hilbertmodules describing the principal series of SL(2). Normalisation is achievedthrough the use of a Fourier transform defined on some homogenous space andtwisted by a Weyl element. Normalising factors are also explicitely obtained.In the appendix we relate reducibility points to a certain distribution arisingfrom the non-normalised intertwiners.

C*-algebraic intertwiners for principal series: case of SL(2)