Algebraic K-theory of completed Kac-Moody groups

TL;DR

This paper extends the algebraic K-theory analysis from reductive p-adic groups to the broader class of completed Kac-Moody groups, providing new insights into their algebraic structures.

Contribution

It introduces a novel extension of K-theory results from reductive p-adic groups to completed Kac-Moody groups, broadening the scope of algebraic K-theory applications.

Findings

Extended K-theory results to completed Kac-Moody groups

Established foundational algebraic properties for these groups

Provided new tools for studying their K-theoretic invariants

Abstract

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