Base change and -theory for
Roger Plymen
University of Manchester, United KingdomSergio Mendes
ISCTE, Lisboa, Portugal
![Base change and $K$-theory for $\mathrm{GL}(n)$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jncg-volume-1-issue-3.png&w=3840&q=90)
Abstract
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