12 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…