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,) for or . 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