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 $C_r^*(G//I)$. 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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
