Abstract
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).
To the memory of Professor José de Sousa Ramos
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Mendes, S. (2008). Galois-fixed Points and K-theory for GL(n). In: Bastos, M.A., Lebre, A.B., Speck, FO., Gohberg, I. (eds) Operator Algebras, Operator Theory and Applications. Operator Theory: Advances and Applications, vol 181. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8684-9_15
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DOI: https://doi.org/10.1007/978-3-7643-8684-9_15
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