Algebraic K-theory of completed Kac-Moody groups

2024/12/06 by Arthur Bartels, Bartels, Arthur, Wolfgang Lueck +3
Mathematics · #19D50 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #K-Theory and Homology (math.KT) #primary: 20G44 #secondary: 20C08

paper · pdf · doi:10.48550/arxiv.2412.05105

openalex publication_date 2024/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend results for the K-theory of Hecke algebras of reductive p-adic groups to completed Kac-Moody groups.

Related

• Recipes to compute the algebraic K-theory of Hecke algebras of reductive p-adic groups
• Kac-Moody Groups and Completions
• The Parabolic K-motivic Hecke Category
• Kac-Moody Groups and Their Representations
• Kato's irreducibility criterion for Kac-Moody groups over local fields