R-groups and geometric structure in the representation theory of SL(N)

Jamila Jawdat, Roger Plymen

    Research output: Contribution to journalArticlepeer-review


    Let F be a nonarchimedean local field of characteristic zero and let G = D SL(N) = SL(N, F). This article is devoted to studying the influence of the elliptic representations of SL(N) on the K-theory. We provide full arithmetic details. This study reveals an intricate geometric structure. One point of interest is that the R-group is realized as an isotropy group. Our results illustrate, in a special case, part (3) of the recent conjecture in [2]. © European Mathematical Society.
    Original languageEnglish
    Pages (from-to)265-279
    Number of pages14
    JournalJournal of Noncommutative Geometry
    Issue number2
    Publication statusPublished - 2010


    • Elliptic representations
    • K-theory
    • L-packets
    • Local field
    • Reduced C*-algebra
    • Special linear group


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