Zhuofeng He

activity

20152023

collaborators

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5 papers · 1 filter

math.OA2023

Dimensions associated with surjective local homeomorphisms and subshifts with low complexity

Zhuofeng He, Sihan Wei

We prove that the Cuntz-Pimsner algebra associated to any surjective aperiodic one-sided subshift with finitely many left special elements has finite nuclear dimension, which is es…

math.OA2023

A generalization of topological Rokhlin dimension and an embedding result

Sihan Wei, Zhuofeng He

We generalize Gabor's notion of topological Rokhlin dimension of $Z^{k}$ -actions on compact metric space to a class of general discrete countable amenable group actions whic…

math.OA2019

A note on crossed products of rotation algebras

Christian Bönicke, Sayan Chakraborty, Zhuofeng He +1

We compute the $K$ -theory of crossed products of rotation algebras $A_{θ}$ , for any real angle $θ$ , by matrices in $SL (2, Z)$ with infinite order. Using te…

math.OA2017

Isomorphism and Morita equivalence classes for crossed products of irrational rotation algebras by cyclic subgroups of $S L_{2} (Z)$

Christian Bönicke, Sayan Chakraborty, Zhuofeng He +1

Let $θ, θ^{'}$ be irrational numbers and $A, B$ be matrices in $S L_{2} (Z)$ of infinite order. We compute the $K$ -theory of the crossed product $\mathcal{A}_θ\rtimes_A \mathbb{Z…

math.OA2015

Certain actions of finitely generated groups on higher dimensional noncommutative tori