Max Carter

collaborators

4 papers

math.RT2025

The type I dichotomy for two-step nilpotent locally compact groups

Pierre-Emmanuel Caprace, Max Carter

We address the type I dichotomy for two-step nilpotent locally compact groups. Invoking work of Baggett-Kleppner, we characterize the closed points of the unitary dual of such a gr…

math.FA2025

The affine group of a local field is Hermitian

Max Carter

The question of whether the group $Q_{p} ⋊ Q_{p}^{*}$ is Hermitian has been stated as an open question in multiple sources in the literature, even as recently as…

math.FA2025

Weighted Orlicz $*$ -algebras on locally elliptic groups

Max Carter

Let $G$ be a locally elliptic group, $(Φ, Ψ)$ a complementary pair of Young functions, and $ω : G \to [1, \infty)$ a weight function on $G$ such that the weighted Orlicz space…

math.GR2023

On the unitary representation theory of locally compact contraction groups

Max Carter

The unitary representation theory of locally compact contraction groups and their semi-direct products with $Z$ is studied. We put forward the problem of completely charac…

The type I dichotomy for two-step nilpotent locally compact groups

The affine group of a local field is Hermitian

Weighted Orlicz ∗-algebras on locally elliptic groups

On the unitary representation theory of locally compact contraction groups

Weighted Orlicz $*$ -algebras on locally elliptic groups