Abstract
Let G = SL(2, F) where F is a local field of characteristic zero. We use R-groups to study the reducibility of the unitary principal series of G. We show how the arithmetic of F has implications on the topology of the tempered dual of G and on the structure of the underlying reduced C * - algebra.
Mathematics Subject Classification (2010). Primary 22E50; Secondary 46L80.
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Mendes, S. (2014). Arithmetic Aspect of \( C_r^*SL(2) \) . In: Bastos, M., Lebre, A., Samko, S., Spitkovsky, I. (eds) Operator Theory, Operator Algebras and Applications. Operator Theory: Advances and Applications, vol 242. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0816-3_16
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DOI: https://doi.org/10.1007/978-3-0348-0816-3_16
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