Emilie Mai Elkiær

collaborators

4 papers

math.FA2024

Symmetrized pseudofunction algebras from $L^{p}$ -representations and amenability of locally compact groups

Emilie Mai Elkiær

We show via an application of techniques from complex interpolation theory how the $L^{p}$ -pseudofunction algebras of a locally compact group $G$ can be understood as sitting between…

math.FA2024

Weak property $(T_{L^{p}})$ for discrete groups

Emilie Mai Elkiær

We show that, for a countable discrete group $Γ$ , property $(T_{L^{p}})$ of Bader, Furman, Gelander and Monod is equivalent to the property that, whenever an $L^{p}$ -represent…

math.FA2023

Property (T) for Banach algebras

Emilie Mai Elkiær, Sanaz Pooya

We define and study the notion of property $(T)$ for Banach algebras, generalizing the one from $C^{*}$ -algebras. For a second countable locally compact group $G$ and a given fam…

math.RT2023

Unitary $L^{p +}$ -representations of almost automorphism groups

Antje Dabeler, Emilie Mai Elkiær, Maria Gerasimova +1

Let $G$ be a locally compact group with an open subgroup $H$ with the Kunze-Stein property, and let $π$ be a unitary representation of $H$ . We show that the representation $\wideti…

Symmetrized pseudofunction algebras from Lp-representations and amenability of locally compact groups

Weak property (TLp​) for discrete groups

Property (T) for Banach algebras

Unitary Lp+-representations of almost automorphism groups

Symmetrized pseudofunction algebras from $L^{p}$ -representations and amenability of locally compact groups

Weak property $(T_{L^{p}})$ for discrete groups

Unitary $L^{p +}$ -representations of almost automorphism groups