-groups and geometric structure in the representation theory of

  • Jamila Jawdat

    Zarqa Private University, Jordan
  • Roger Plymen

    Manchester University, UK

Abstract

Let be a nonarchimedean local field of characteristic zero and let . This article is devoted to studying the influence of the elliptic representations of on the K-theory. We provide full arithmetic details. This study reveals an intricate geometric structure. One point of interest is that the -group is realized as an isotropy group. Our results illustrate, in a special case, part (3) of the recent conjecture in [Aubert, Baum, Plymen (2007)].

Cite this article

Jamila Jawdat, Roger Plymen, -groups and geometric structure in the representation theory of . J. Noncommut. Geom. 4 (2010), no. 2, pp. 265–279

DOI 10.4171/JNCG/55