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Mendes, S. (2014). Base change and K-theory for orbits of p-adic GL(n). Libertas Mathematica (new series). 34 (2), 59-77
S. M. Mendes, "Base change and K-theory for orbits of p-adic GL(n)", in Libertas Mathematica (new series), vol. 34, no. 2, pp. 59-77, 2014
@article{mendes2014_1714895742135, author = "Mendes, S.", title = "Base change and K-theory for orbits of p-adic GL(n)", journal = "Libertas Mathematica (new series)", year = "2014", volume = "34", number = "2", doi = "10.14510%2Flm-ns.v34i2.1288", pages = "59-77", url = "http://www.ara-as.org/index.php/lm-ns/issue/view/110" }
TY - JOUR TI - Base change and K-theory for orbits of p-adic GL(n) T2 - Libertas Mathematica (new series) VL - 34 IS - 2 AU - Mendes, S. PY - 2014 SP - 59-77 SN - 0278-5307 DO - 10.14510%2Flm-ns.v34i2.1288 UR - http://www.ara-as.org/index.php/lm-ns/issue/view/110 AB - 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. ER -