The Farrell–Jones conjecture for some nearly crystallographic groups
Copyright policy )The Farrell–Jones conjecture for some nearly crystallographic groups
In this paper, we prove the K-theoretical and L-theoretical Farrell-Jones Conjecture with coefficients in an additive category for nearly crystallographic groups of the form $\mathbb{Q}^n \rtimes \mathbb{Z}$, where $\mathbb{Z}$ acts on $\mathbb{Q}^n$ as an irreducible integer matrix with determinant $d$, $|d |>1$.
To appear in Algebraic & Geometric Topology
- Binghamton University United States
- Freie Universität Berlin Germany
K–theory of group rings, 19B28, Farrell-Jones conjecture, groups acting on trees, Mathematics - Geometric Topology, \(K_0\) of group rings and orders, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, 18F25, \(K_1\) of group rings and orders, Farrell-Hsiang groups, Geometric Topology (math.GT), K-Theory and Homology (math.KT), 18F25, 19A31, 19B28, tree, flow space, 19A31, Farrell–Jones conjecture, Mathematics - K-Theory and Homology, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), group action, L–theory of group rings, nearly crystallographic groups
K–theory of group rings, 19B28, Farrell-Jones conjecture, groups acting on trees, Mathematics - Geometric Topology, \(K_0\) of group rings and orders, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, 18F25, \(K_1\) of group rings and orders, Farrell-Hsiang groups, Geometric Topology (math.GT), K-Theory and Homology (math.KT), 18F25, 19A31, 19B28, tree, flow space, 19A31, Farrell–Jones conjecture, Mathematics - K-Theory and Homology, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), group action, L–theory of group rings, nearly crystallographic groups
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!