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20232025
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8 papers · 1 filter

math.OA2025

Generic classification of the quasi-free flows on the Cuntz algebra

Robert Neagu

In this article we show that the quasi-free flows on the Cuntz algebra are generically classifiable by the inverse temperature of their unique KMS state. Along the…

math.OA2025

Brown-Voiculescu entropy revisited

Bhishan Jacelon, Robert Neagu

Aided by the tools and outlook provided by modern classification theory, we take a new look at the Brown-Voiculescu entropy of endomorphisms of nuclear C*-algebras. In particular,…

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.OA2024

The stable uniqueness theorem for unitary tensor category equivariant KK-theory

Sergio Girón Pacheco, Kan Kitamura, Robert Neagu

We introduce the Cuntz-Thomsen picture of -equivariant Kasparov theory, denoted , for a unitary tensor category with countably m…

math.OA2024

The admissible KMS bundles on classifiable C-algebras

Robert Neagu

Given any unital, finite, classifiable C-algebra with real rank zero and any compact simplex bundle with the fibre at zero being homeomorphic to the space of tracial states…

math.OA2023

Inclusions of real rank zero

James Gabe, Robert Neagu

We introduce a notion of real rank zero for inclusions of C-algebras. After showing that our definition has many equivalent characterisations, we offer a complete description o…

math.OA2023

An Elliott intertwining approach to classifying actions of C-tensor categories

Sergio Girón Pacheco, Robert Neagu

We introduce a categorical approach to classifying actions of C-tensor categories on C-algebras up to cocycle conjugacy. We show that, in this category, induc…

math.OA2023

On topologically zero-dimensional morphisms

Jorge Castillejos, Robert Neagu

We investigate -homomorphisms with nuclear dimension equal to zero. In the framework of classification of -homo-morphisms, we characterise such maps as those that can be ap…