John Hopfensperger

activity

20192021

collaborators

3 papers

math.GR2021

Topological Invariant Means on Locally Compact Groups

John Hopfensperger

Suppose $G$ is an amenable locally compact group. If ${F_{γ}} = {F_{γ}}_{γ \in Γ}$ is a Følner net for $G$ , associate it with the net $\{χ_{F_γ} / |F_γ|\} \subset L_1(G) \subset L_\i…

math.FA2020

When is an invariant mean the limit of a Følner net?

John Hopfensperger

Let $G$ be a locally compact amenable group, $T L I M (G)$ the topological left-invariant means on $G$ , and $T L I M_{0} (G)$ the limit points of Folner-nets. I show that $TLIM_0(G) = TLIM(G…

math.FA2019

Counting topologically invariant means on $L_{\infty} (G)$ and $V N (G)$ with ultrafilters

John Hopfensperger

In 1970, Chou showed there are $∣ N^{*} ∣ = 2^{2^{N}}$ topologically invariant means on $L_{\infty} (G)$ for any noncompact, $σ$ -compact amenable group. Over the following…

Topological Invariant Means on Locally Compact Groups

When is an invariant mean the limit of a Følner net?

Counting topologically invariant means on L∞​(G) and VN(G) with ultrafilters

Counting topologically invariant means on $L_{\infty} (G)$ and $V N (G)$ with ultrafilters