activity
20152025
most citedSequentially split -homomorphisms between -algebras

36 citations · 56 across the 13 of their papers we have counts for

collaborators

13 papers

math.OA2025

On a Rokhlin property for abelian group actions on C-algebras

Johannes Christensen, Robert Neagu, Gábor Szabó

In this article, we study the so-called abelian Rokhlin property for actions of locally compact, abelian groups on C-algebras. We propose a unifying framework for obtaining var…

math.OA2025

Corona algebras and strongly self-absorbing -dynamics

Xiuyuan Li, Matteo Pagliero, Gábor Szabó

This article concerns the structure of -algebraic group actions induced on corona algebras from a given -unital -dynamical system over a lo…

math.OA2024

Coronas and strongly self-absorbing C*-algebras

Ilijas Farah, Gábor Szabó

Let be a strongly self-absorbing -algebra. Given any separable -algebra , our two main results assert the following. If is $\mathcal…

math.OA2023

Classification of equivariantly -stable amenable actions on nuclear -algebras

Matteo Pagliero, Gábor Szabó

Given a second-countable, locally compact group , we consider amenable -actions on separable, stable, nuclear -algebras that are isometrically shift-absorbin…

math.OA2023★ 1 cited

Equivariant property (SI) revisited, II

Gábor Szabó

We investigate Matui-Sato's notion of property (SI) for C*-dynamics, this time with a focus on actions of possibly non-amenable groups. The main result is a generalization of earli…

math.OA2023

Equivariant property Gamma and the tracial local-to-global principle for C*-dynamics

Gábor Szabó, Lise Wouters

We consider the notion of equivariant uniform property Gamma for actions of countable discrete groups on C*-algebras that admit traces. In case the group is amenable and the C*-alg…

math.OA2023

Dynamical McDuff-type properties for group actions on von Neumann algebras

Gábor Szabó, Lise Wouters

We consider the notion of strong self-absorption for continuous actions of locally compact groups on the hyperfinite II-factor and characterize when such an action is tensorial…

math.OA2022

The dynamical Kirchberg-Phillips theorem

James Gabe, Gábor Szabó

Let be a second-countable, locally compact group. In this article we study amenable -actions on Kirchberg algebras that admit an approximately central embedding of a canonic…

math.DS2022

On embeddings of extensions of almost finite actions into cubical shifts

Emiel Lanckriet, Gábor Szabó

For a countable amenable group and a fixed dimension , we investigate when it is possible to embed a -space into the -dimensional cubical shift …

math.OA2017★ 2 cited

Approaching the UCT problem via crossed products of the Razak-Jacelon algebra

Selçuk Barlak, Gábor Szabó

We show that the UCT problem for separable, nuclear -algebras relies only on whether the UCT holds for crossed products of certain finite cyclic group actions on the R…

math.OA2017

On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras

Selçuk Barlak, Gábor Szabó

We show that an outer action of a finite abelian group on a simple Cuntz-Krieger algebra is strongly approximately inner in the sense of Izumi if the action is given by diagonal qu…

math.OA2016★ 17 cited

The spatial Rokhlin property for actions of compact quantum groups

Selçuk Barlak, Gábor Szabó, Christian Voigt

We introduce the spatial Rokhlin property for actions of coexact compact quantum groups on -algebras, generalizing the Rokhlin property for both actions of classical…

math.OA2015★ 36 cited

Sequentially split -homomorphisms between -algebras

Selçuk Barlak, Gábor Szabó

We define and examine sequentially split -homomorphisms between -algebras and -dynamical systems. For a -homomorphism, the property of being seque…