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K-theory of the reduced C*-algebra of SL2(Qp)

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Book cover Operator Algebras and their Connections with Topology and Ergodic Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1132))

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References

  1. A. Borel. Admissible representations of a semisimple group over a local field with vectors fixed under an Iwahori subgroup. Inventiones Math. 35 (1976) 233–259.

    Article  MathSciNet  MATH  Google Scholar 

  2. R. Boyer and R. Martin. The regular group C*-algebra for real-rank one groups. Proc. Amer. Math. Soc. 59 (1976) 371–376.

    MathSciNet  MATH  Google Scholar 

  3. W. Casselman. The Steinberg character as a true character. Proc. Symp. Pure Math. 26 (1973) 413–418.

    Article  MathSciNet  MATH  Google Scholar 

  4. C. Delaroche. Extensions des C*-algèbres. Bull. Soc. Math. France, Mémoire 29 (1972).

    Google Scholar 

  5. J. Dixmier. C*-algebras. North Holland, Amsterdam 1977.

    MATH  Google Scholar 

  6. J.M.G. Fell. The dual spaces of C*-algebras. Trans. Amer. Math. Soc. 94 (1960) 365–403.

    MathSciNet  MATH  Google Scholar 

  7. I.M. Gelfand, M.I. Graev, I.I. Pyatetskii-Shapiro. Representation theory and automorphic functions. Saunders, Philadelphia, 1969.

    Google Scholar 

  8. S.S. Gelbart. Automorphic forms on adèle groups. Annals of Math. Studies 83, Princeton, 1975.

    Google Scholar 

  9. C.L. Gulizia. Harmonic analysis of SL(2) over a locally compact field. J. Functional Analysis 12 (1973) 384–400.

    Article  MathSciNet  MATH  Google Scholar 

  10. P. Julg and A. Valette. K-moyennabilité pour les groupes opérant sur les arbres. C.R. Acad. Sci. Paris 296 (1983) 977–980.

    MathSciNet  MATH  Google Scholar 

  11. —. Groups acting on trees and K-amenability. These proceedings 1983.

    Google Scholar 

  12. R.L. Lipsman. The dual topology for the principal and discrete series on semisimple groups. Trans. Amer. Math. Soc. 152 (1970) 399–417.

    Article  MathSciNet  MATH  Google Scholar 

  13. P.J. Sally. Character formulas for SL2. Proc. Symp. Pure Math. 26 (1973) 395–400.

    Article  MathSciNet  Google Scholar 

  14. P.J. Sally and J.A. Shalika. The Plancherel formula for SL2 over a local field. Proc. Nat. Acad. Sci. U.S.A. 63 (1969) 661–667.

    Article  MathSciNet  MATH  Google Scholar 

  15. A. Valette. Minimal projections, integrable representations and property (T). Preprint 1983.

    Google Scholar 

  16. J-P. Serre. A course in arithmetic. Springer-Verlag, Berlin, 1973.

    Book  MATH  Google Scholar 

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Authors and Affiliations

  1. Mathematics Department, The University, M13 9PL, Manchester, England

    R. J. Plymen

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  1. R. J. Plymen
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Huzihiro Araki Calvin C. Moore Şerban-Valentin Stratila Dan-Virgil Voiculescu

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© 1985 Springer-Verleg

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Plymen, R.J. (1985). K-theory of the reduced C*-algebra of SL2(Qp). In: Araki, H., Moore, C.C., Stratila, ŞV., Voiculescu, DV. (eds) Operator Algebras and their Connections with Topology and Ergodic Theory. Lecture Notes in Mathematics, vol 1132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074898

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  • DOI: https://doi.org/10.1007/BFb0074898

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  • Print ISBN: 978-3-540-15643-7

  • Online ISBN: 978-3-540-39514-0

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