K-theory of rank one reductive p-adic groups and Bernstein blocks
K-Theory and Homology
2024-07-23 v1
Abstract
We prove a colimit formula for the K-theory spectra of reductive p-adic groups of rank one with regular coefficients in terms of the K-theory of certain compact open subgroups. Furthermore, in the complex case, we show, using the construction of types provided by Roche, that this result can be improved to obtain a formula for the K-theory spectrum of every principal series Bernstein block if the group is split.
Cite
@article{arxiv.2407.14929,
title = {K-theory of rank one reductive p-adic groups and Bernstein blocks},
author = {Maximilian Tönies},
journal= {arXiv preprint arXiv:2407.14929},
year = {2024}
}
Comments
59 pages