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http://hdl.handle.net/10071/10630
acessibilidade
Title: Base change and K-theory for orbits of p-adic GL(n)
Authors: Mendes, S.
Keywords: Local field
General linear group
C*-algebra
Base change
K-theory
Issue Date: 2014
Publisher: American Romanian Academy of Arts and Sciences
Abstract: Let E=F be a finite Galois extension of a nonarchimedean local field F with zero characteristic and let G = GL(n) = GL(n, F). We investigate base change E/F at the level of K-theory for the spherical C*-algebra C_r^*(G//K) and the Iwahori C*-algebra C_r^*r (G//I). Then we proceed to more abstract compact orbits of Langlands parameters and show that, at the level of the K-theory group K1, base change is multiplication by the residue degree f = f(E/F), generalizing previous results.
Peer reviewed: yes
URI: http://hdl.handle.net/10071/10630
DOI: 10.14510%2Flm-ns.v34i2.1288
ISSN: 0278-5307
Ciência-IUL: https://ciencia.iscte-iul.pt/id/ci-pub-26516
Appears in Collections:DM-RI - Artigos em revistas científicas internacionais

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