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- W4224875171 abstract "Consider a totally disconnected group G, which is covirtually cyclic, i.e., contains a normal compact open subgroup L such that G/L is infinite cyclic. We establish a Wang sequence, which computes the algebraic K-groups of the Hecke algebra of G in terms of the one of L, and show that all negative K-groups vanish. This confirms the K-theoretic Farrell-Jones Conjecture for the Hecke algebra of G in this special case. Our ultimate long term goal is to prove it for any closed subgroup of any reductive p-adic group. The results of this paper will play a role in the final proof." @default.
- W4224875171 created "2022-04-27" @default.
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- W4224875171 date "2022-04-17" @default.
- W4224875171 modified "2023-09-26" @default.
- W4224875171 title "On the algebraic K-theory of Hecke algebras" @default.
- W4224875171 doi "https://doi.org/10.48550/arxiv.2204.07982" @default.
- W4224875171 hasPublicationYear "2022" @default.
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