[图书][B] Operator algebras and dynamics: groupoids, crossed products, and Rokhlin dimension
Recent developments in Elliott's classification program are the culmination of a burst of
activity in the area of simple nuclear C*-algebras. These breakthroughs have been driven by …
activity in the area of simple nuclear C*-algebras. These breakthroughs have been driven by …
[HTML][HTML] Strongly outer actions of amenable groups on Z-stable nuclear C*-algebras
E Gardella, I Hirshberg, A Vaccaro - Journal de Mathématiques Pures et …, 2022 - Elsevier
Let A be a separable, unital, simple, Z-stable, nuclear C⁎-algebra, and let α: G→ Aut (A) be
an action of a discrete, countable, amenable group. Suppose that the orbits of the action of G …
an action of a discrete, countable, amenable group. Suppose that the orbits of the action of G …
Rokhlin dimension for actions of residually finite groups
G Szabó, J Wu, J Zacharias - Ergodic Theory and Dynamical …, 2019 - cambridge.org
Rokhlin dimension for actions of residually finite groups Page 1 Ergod. Th. & Dynam. Sys. (2019),
39, 2248–2304 doi:10.1017/etds.2017.113 c Cambridge University Press, 2017 Rokhlin …
39, 2248–2304 doi:10.1017/etds.2017.113 c Cambridge University Press, 2017 Rokhlin …
Rokhlin dimension: duality, tracial properties, and crossed products
E Gardella, I Hirshberg, L Santiago - Ergodic Theory and Dynamical …, 2021 - cambridge.org
We study compact group actions with finite Rokhlin dimension, particularly in relation to
crossed products. For example, we characterize the duals of such actions, generalizing …
crossed products. For example, we characterize the duals of such actions, generalizing …
Tracial approximate divisibility and stable rank one
In this paper, we show that every separable simple tracially approximately divisible C∗ C^*‐
algebra has strict comparison, and it is either purely infinite or has stable rank one. As a …
algebra has strict comparison, and it is either purely infinite or has stable rank one. As a …
Long thin covers and nuclear dimension
I Hirshberg, J Wu - arXiv preprint arXiv:2308.12504, 2023 - arxiv.org
We establish finite nuclear dimension for crossed product C*-algebras arising from various
classes of possibly non-free topological actions, including arbitrary actions of finitely …
classes of possibly non-free topological actions, including arbitrary actions of finitely …
Exotic circle actions on classifiable C⁎-algebras
I Hirshberg - Journal of Functional Analysis, 2024 - Elsevier
Exotic circle actions on classifiable C⁎-algebras - ScienceDirect Skip to main contentSkip to
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On a categorical framework for classifying C⁎-dynamics up to cocycle conjugacy
G Szabó - Journal of Functional Analysis, 2021 - Elsevier
We provide the rigorous foundations for a categorical approach to the classification of C⁎-
dynamics up to cocycle conjugacy. Given a locally compact group G, we consider a category …
dynamics up to cocycle conjugacy. Given a locally compact group G, we consider a category …
Coronas and strongly self-absorbing C*-algebras
I Farah, G Szabó - arXiv preprint arXiv:2411.02274, 2024 - arxiv.org
Let $\mathcal D $ be a strongly self-absorbing $\mathrm {C}^* $-algebra. Given any
separable $\mathrm {C}^* $-algebra $ A $, our two main results assert the following. If $ A …
separable $\mathrm {C}^* $-algebra $ A $, our two main results assert the following. If $ A …
Strongly self-absorbing C*-dynamical systems. II
G Szabó - Journal of Noncommutative Geometry, 2018 - ems.press
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 WG Õ D, we establish …
groups on C-algebras. Given a strongly self-absorbing action WG Õ D, we establish …