Book chapter
Arithmetic aspect of C_r* SL(2)
Sérgio Mendes (Mendes, S.);
Book Title
Operator Theory, Operator Algebras and Applications
Year (definitive publication)
2014
Language
English
Country
Switzerland
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(Last checked: 2026-04-06 13:40)

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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.
Acknowledgements
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Keywords
Local field, special linear group, Artin symbol
Publication Identifiers
2-s2.0-84958952719
ci-pub-19939
Other Publication Details
2014
Birkhäuser
Scopus;
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978-3-0348-0815-6 (print)
978-3-0348-0815-6 (online)
242
261 - 278 18
1
Yes
Both (printed and digital)
M. Amélia Bastos, Amarino Lebre, Stefan Samko, Ilya M. Spitkovsky
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