41 citations · 343 across the 20 of their papers we have counts for
20 papers
Classification of anomalous actions of finite groups with the Rokhlin property
Sergio Girón Pacheco, Gábor Szabó
Given a finite group G, we develop a generalization of the fundamental classification of Rokhlin G-actions on C*-algebras to the setting of anomalous G-actions with the Rokhlin pro…
On tracial -stability of simple non-unital C*-algebras
Jorge Castillejos, Kang Li, Gabor Szabo
We investigate the notion of tracial -stability beyond unital C*-algebras, and we prove that this notion is equivalent to -stability in the class of separab…
On a categorical framework for classifying C*-dynamics up to cocycle conjugacy
Gabor Szabo
We provide the rigorous foundations for a categorical approach to the classification of C*-dynamics up to cocycle conjugacy. Given a locally compact group , we consider a catego…
Equivariant property (SI) revisited
Gabor Szabo
We revisit Matui-Sato's notion of property (SI) for C*-algebras and C*-dynamics. More specifically, we generalize the known framework to the case of C*-algebras with possibly unbou…
Actions of certain torsion-free elementary amenable groups on strongly self-absorbing C*-algebras
Gabor Szabo
In this paper we consider a bootstrap class of countable discrete groups, which is closed under countable unions and extensions by the integers, and we study actions…
Almost finiteness and the small boundary property
David Kerr, Gabor Szabo
Working within the framework of free actions of countable amenable groups on compact metrizable spaces, we show that the small boundary property is equivalent to a density version…
Rokhlin dimension: absorption of model actions
Gabor Szabo
In this paper, we establish a connection between Rokhlin dimension and the absorption of certain model actions on strongly self-absorbing C*-algebras. Namely, as to be made precise…
The embedding problem in topological dynamics and Takens' theorem
Yonatan Gutman, Yixiao Qiao, Gabor Szabo
We prove that every -action of mean dimension less than admitting a factor of Rokhlin dimension not greater than…
The classification of Rokhlin flows on C*-algebras
Gabor Szabo
We study flows on C*-algebras with the Rokhlin property. We show that every Kirchberg algebra carries a unique Rokhlin flow up to cocycle conjugacy, which confirms a long-standing…
Strongly self-absorbing C*-dynamical systems, III
Gabor Szabo
In this paper, we accomplish two objectives. Firstly, we extend and improve some results in the theory of (semi-)strongly self-absorbing C*-dynamical systems, which was introduced…
Equivariant Kirchberg-Phillips-type absorption for amenable group actions
Gabor Szabo
We show an equivariant Kirchberg-Phillips-type absorption theorem for pointwise outer actions of discrete amenable groups on Kirchberg algebras with respect to natural model action…
Rokhlin dimension for flows
Ilan Hirshberg, Gabor Szabo, Wilhelm Winter +1
We introduce a notion of Rokhlin dimension for one parameter automorphism groups of C*-algebras. This generalizes Kishimoto's Rokhlin property for flows, and is analogous to the no…
Strongly self-absorbing C*-dynamical systems, II
Gabor Szabo
This is a continuation of the study of strongly self-absorbing actions of locally compact groups on C*-algebras. Given a strongly self-absorbing action $γ: G\curvearrowright\mathca…
On the nuclear dimension of strongly purely infinite C*-algebras
Gabor Szabo
We show that separable, nuclear and strongly purely infinite C*-algebras have finite nuclear dimension. In fact, the value is at most three. This exploits a deep structural result…
Strongly self-absorbing C*-dynamical systems
Gabor Szabo
We introduce and study strongly self-absorbing actions of locally compact groups on C*-algebras. This is an equivariant generalization of a strongly self-absorbing C*-algebra to th…
A short note on the continuous Rokhlin property and the universal coefficient theorem
Gabor Szabo
Let be a metrizable compact group, a separable C*-algebra and a strongly continuous action of on . Provided that satisfies the continuous Rokhlin property, w…
Rokhlin dimension for actions of residually finite groups
Gabor Szabo, Jianchao Wu, Joachim Zacharias
We introduce the concept of Rokhlin dimension for actions of residually finite groups on C*-algebras, extending previous notions of Rokhlin dimension for actions of finite groups a…
Rokhlin actions of finite groups on UHF-absorbing C*-algebras
Selcuk Barlak, Gabor Szabo
This paper serves as a source of examples of Rokhlin actions or locally representable actions of finite groups on C*-algebras satisfying a certain UHF-absorption condition. We show…
The Rokhlin property vs. Rokhlin dimension 1 on unital Kirchberg algebras
Selcuk Barlak, Dominic Enders, Hiroku Matui +2
We investigate symmetries on unital Kirchberg algebras with respect to the Rokhlin property and finite Rokhlin dimension. In stark contrast to the restrictiveness of the Rokhlin pr…
The Rokhlin dimension of topological Z^m-actions
Gabor Szabo
We study the topological variant of Rokhlin dimension for topological dynamical systems (X,α,Z^m) in the case where X is assumed to have finite covering dimension. Finite Rokhlin d…