JournalsjncgVol. 9, No. 1pp. 1–19

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

  • Pierre Clare

    Dartmouth College, Hanover, USA
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Abstract

We construct and normalise intertwining operators at the level of Hilbert modules describing the principal series of SL.2,FF) for F=R,CF = \mathbb R, \mathbb C or H\mathbb H. Normalisation is achieved through the use of a Fourier transform defined on some homogenous space and twisted by a Weyl element. Normalising factors are also explicitly obtained. In the appendix we relate reducibility points to a certain distribution arising from the non-normalised intertwiners.

Cite this article

Pierre Clare, C*-algebraic intertwiners for principal series: case of SL(2). J. Noncommut. Geom. 9 (2015), no. 1, pp. 1–19

DOI 10.4171/JNCG/185