Base change and -theory for

  • Roger Plymen

    University of Manchester, United Kingdom
  • Sergio Mendes

    ISCTE, Lisboa, Portugal


Let F be a nonarchimedean local field and let . Let be a finite Galois extension. We investigate base change at two levels: at the level of algebraic varieties, and at the level of -theory. We put special emphasis on the representations with Iwahori fixed vectors, and the tempered spectrum of and . In this context, the prominent arithmetic invariant is the residue degree .

Cite this article

Roger Plymen, Sergio Mendes, Base change and -theory for . J. Noncommut. Geom. 1 (2007), no. 3, pp. 311–331

DOI 10.4171/JNCG/9