Journal of Noncommutative Geometry
Full-Text PDF (190 KB) | Metadata | Table of Contents | JNCG summary
Published online: 2007-09-30
Base change and K-theory for GL(n)Sergio Mendes and Roger Plymen (1) ISCTE, Lisboa, Portugal
(2) University of Manchester, United Kingdom
Let F be a nonarchimedean local field and let G = GL(n) = GL(n, F). Let E/F be a finite Galois extension. We investigate base change E/F at two levels: at the level of algebraic varieties, and at the level of K-theory. We put special emphasis on the representations with Iwahori fixed vectors, and the tempered spectrum of GL(1) and GL(2). In this context, the prominent arithmetic invariant is the residue degree f(E/F).
Keywords: Local field, general linear group, algebraic variety, base change, K-theory
Mendes Sergio, Plymen Roger: Base change and K-theory for GL(n). J. Noncommut. Geom. 1 (2007), 311-331. doi: 10.4171/JNCG/9