Max Carter

collaborators

3 papers

math.RT2026

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

Weighted Orlicz $*$ -algebras on locally elliptic groups

Max Carter

Let $G$ be a locally elliptic group, $(I^¦, I^¨)$ a complementary pair of Young functions, and $I ¨ : G \to [1, \infty)$ a weight function on $G$ such that the weighted Orlicz sp…

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…

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

Weighted Orlicz ∗-algebras on locally elliptic groups

The affine group of a local field is Hermitian

Weighted Orlicz $*$ -algebras on locally elliptic groups