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Published in:
2008 | OriginalPaper | Chapter
Galois-fixed Points and K-theory for GL(n)
Author : Sérgio Mendes
Published in: Operator Algebras, Operator Theory and Applications
Publisher: Birkhäuser Basel
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Let
F
be a nonarchimedean local field and let
G
= GL(n) = GL(n, F). Let
E/F
be a finite Galois extension. We use the Hasse-Herbrand function
ψ
E/F
to identify the
K
-theory groups of the reduced
C
*-algebra
C
*
r
GL(n, F) with the Galois-fixed points of the
K
-theory groups of the reduced
C
*-algebra
C
*
r
GL(n, E).