Ross Stokke

activity

20082026

most citedBiflatness and Pseudo-Amenability of Segal algebras

29 citations · 30 across the 7 of their papers we have counts for

collaborators

10 papers

math.GN2026

Totally Disconnected Semigroup Compactifications: Non-Introversion of the Full Boolean Algebra of Clopen Sets

Joshua Basman Monterrubio, Thomas Czyzowicz, Ross Stokke +1

In terms of the existence of a single clopen set and two related nets, we characterize when the full Boolean algebra, $B (G)$ , of clopen subsets of a topological group $…

math.FA2026

(Generalized) Spine Subalgebras of Fourier-Stieltjes algebras and their Homomorphisms

Nico Spronk, Ross Stokke, Aasaimani Thamizhazhagan

For any upper semilattice $D$ of locally precompact topologies on a locally compact group $G$ , we define an associated generalized spine subalgebra $A_{D}^{*} (G)$ of the…

math.GN2022

Totally disconnected semigroup compactifications of topological groups

Alexander Stephens, Ross Stokke

We introduce the notion of an introverted Boolean algebra $B$ of closed-and-open subsets of a topological group $G$ , show that the associated Stone space $(ν_{\cal B} G, ν_{\c…

math.FA2021★ 1 cited

On Beurling measure algebras

Ross Stokke

We show how the measure theory of regular compacted-Borel measures defined on the $δ$ -ring of compacted-Borel subsets of a weighted locally compact group $(G, ω)$ provides a compati…

math.FA2021

Norm-multiplicative homomorphisms of Beurling algebras

Matthew E. Kroeker, Alexander Stephens, Ross Stokke +1

We introduce and study "norm-multiplicative" homomorphisms $φ : L^{1} (F) \to M_{r} (G)$ between group and measure algebras, and $φ: {\cal L}^1(ω_F) \rightarrow {\ca…

math.FA2020

Homomorphisms of Fourier-Stieltjes algebras

Ross Stokke

Every homomorphism $φ : B (G) \to B (H)$ between Fourier-Stieltjes algebras on locally compact groups $G$ and $H$ is determined by a continuous mapping $α: Y \rightarrow Δ(B(G…

math.FA2018

Fourier spaces and completely isometric representations of Arens product algebras

Ross Stokke

Motivated by the definition of a semigroup compactification of a locally compact group and a large collection of examples, we introduce the notion of an (operator) "homogeneous lef…

math.FA2013

Extension of derivations, and Connes-amenability of the enveloping dual Banach algebra

Yemon Choi, Ebrahim Samei, Ross Stokke

If $D : A \to X$ is a derivation from a Banach algebra to a contractive, Banach $A$ -bimodule, then one can equip $X^{**}$ with an $A^{**}$ -bimodule structure, such that the second tr…

math.FA2011

Matrix coefficients of unitary representations and associated compactifications

Nico Spronk, Ross Stokke

We study, for a locally compact group $G$ , the compactifications $(π, G^{π})$ associated with unitary representations $π$ , which we call {\it $π$ -Eberlein compactifications}. We also…

math.FA2008★ 29 cited

Biflatness and Pseudo-Amenability of Segal algebras

Ebrahim Samei, Nico Spronk, Ross Stokke

We investigate generalized amenability and biflatness properties of various (operator) Segal algebras in both the group algebra, L1(G), and the Fourier algebra, A(G), of a locally…