Operator Algebras

Authors and titles for April 2025

[1] arXiv:2504.00127 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Poisson transforms on right-angled Artin monoids Show Chinese title

Title: 泊松变换在直角Artin幺半群上的应用

Boyu Li

Comments: 16 pages

Subjects: Operator Algebras (math.OA) ; Functional Analysis (math.FA)

[2] arXiv:2504.00377 (cross-list from math.OA) [cn-pdf, pdf, other]

Title: K-theory of C*-algebras arising from commuting Hilbert bimodules and invariant ideals Show Chinese title

Title: C*-代数的K理论来自交换的希尔伯特双模和不变理想

Astrid an Huef, Abraham C. S. Ng, Aidan Sims

Comments: 30 pages; diagrams prepared with tikzcd and some help from q.uiver. This version to appear in J. Operator Th

Subjects: Operator Algebras (math.OA)

[3] arXiv:2504.00596 (cross-list from math.OA) [cn-pdf, pdf, other]

Title: Generalized free wreath products and their operator algebras Show Chinese title

Title: 广义自由 wreath 积及其算子代数

Pierre Fima, Arthur Troupel

Comments: 65 pages

Subjects: Operator Algebras (math.OA) ; K-Theory and Homology (math.KT) ; Quantum Algebra (math.QA)

[4] arXiv:2504.00980 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Simplicity of Cuntz-Pimsner algebras of quantum graphs Show Chinese title

Title: 量子图的Cuntz-Pimsner代数的简单性

Mitch Hamidi, Lara Ismert, Brent Nelson

Comments: 18 pages

Subjects: Operator Algebras (math.OA)

[5] arXiv:2504.01176 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Covariant decomposable maps on C*-algebras and quantum dynamics Show Chinese title

Title: 协变可分解映射在C*-代数和量子动力学中

Krzysztof Szczygielski

Comments: 27 pages, no figures. Lemma 5 replaced with Thm. 11, proofs of Thm. 1 and Prop. 10 corrected

Subjects: Operator Algebras (math.OA) ; Mathematical Physics (math-ph) ; Functional Analysis (math.FA) ; Quantum Physics (quant-ph)

[6] arXiv:2504.01746 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Spans of quantum-inequality projections Show Chinese title

Title: 量子不等式投影的跨度

Alexandru Chirvasitu

Comments: 18 pages + references

Subjects: Operator Algebras (math.OA) ; Functional Analysis (math.FA) ; Quantum Algebra (math.QA) ; Rings and Algebras (math.RA) ; Representation Theory (math.RT)

[7] arXiv:2504.01782 (cross-list from math.OA) [cn-pdf, pdf, other]

Title: Tensor free probability theory: asymptotic tensor freeness and central limit theorem Show Chinese title

Title: 张量自由概率论：渐近张量自由性和中心极限定理

Ion Nechita, Sang-Jun Park

Subjects: Operator Algebras (math.OA) ; Mathematical Physics (math-ph) ; Probability (math.PR)

[8] arXiv:2504.02003 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: 3-handle construction on II$_1$ factors Show Chinese title

Title: II$_1$因子上的3-handles构造

David Gao, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell

Subjects: Operator Algebras (math.OA) ; Logic (math.LO)

[9] arXiv:2504.03087 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: On von Neumann algebras generated by free Poisson random weights Show Chinese title

Title: 关于由自由泊松随机权生成的冯·诺依曼代数

Zhiyuan Yang

Comments: 37 pages + references

Subjects: Operator Algebras (math.OA)

[10] arXiv:2504.03266 (cross-list from math.OA) [cn-pdf, pdf, other]

Title: W*-superrigidity for discrete quantum groups Show Chinese title

Title: W*-超刚性对于离散量子群

Milan Donvil, Stefaan Vaes

Subjects: Operator Algebras (math.OA) ; Group Theory (math.GR) ; Quantum Algebra (math.QA)

[11] arXiv:2504.03611 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: On the small boundary property and $\mathcal Z$-absorption, II Show Chinese title

Title: 关于小边界性质和$\mathcal Z$-吸收，II

George A. Elliott, Zhuang Niu

Comments: 61 pages

Subjects: Operator Algebras (math.OA) ; Dynamical Systems (math.DS)

[12] arXiv:2504.04817 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Robustness of topological phases on aperiodic lattices Show Chinese title

Title: 非周期性格点上拓扑相的鲁棒性

Yuezhao Li

Comments: 32 pages, 0 figures. Comments are welcome!

Subjects: Operator Algebras (math.OA) ; Mathematical Physics (math-ph) ; K-Theory and Homology (math.KT)

[13] arXiv:2504.05145 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Topological full groups arising from Cuntz and Cuntz-Toeplitz algebras and their crossed products Show Chinese title

Title: 由Cuntz代数和Cuntz-Toeplitz代数及其交叉积引出的拓扑全群

Ryoya Arimoto, Taro Sogabe

Comments: 33 pages(v1, v2); typos corrected, reference added (v2)

Subjects: Operator Algebras (math.OA)

[14] arXiv:2504.05247 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Inclusions of Operator Algebras from Tensor Categories: beyond irreducibility Show Chinese title

Title: 算子代数来自张量范畴的包含：超越不可约性

Lucas Hataishi, Roberto Hernández Palomares

Comments: 41 pages

Subjects: Operator Algebras (math.OA) ; Quantum Algebra (math.QA)

[15] arXiv:2504.05724 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Duality for operator systems with generating cones Show Chinese title

Title: 算子系统的对偶性对于生成锥

Yu-Shu Jia, Chi-Keung Ng

Subjects: Operator Algebras (math.OA) ; Functional Analysis (math.FA)

[16] arXiv:2504.05973 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: The Primitive Ideal Space of $C(X) \rtimes \mathbb{N}$ Show Chinese title

Title: 素理想空间的$C(X) \rtimes \mathbb{N}$

Xiaohui Chen, Hui Li

Comments: The introduction was modified a third time

Subjects: Operator Algebras (math.OA)

[17] arXiv:2504.08107 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Almost unimodular groups Show Chinese title

Title: 几乎单模群

Aldo Garcia Guinto, Brent Nelson

Comments: 29 pages; [v2] new results on fiber products added to Section 3

Subjects: Operator Algebras (math.OA) ; Group Theory (math.GR)

[18] arXiv:2504.10131 (cross-list from math.OA) [cn-pdf, pdf, other]

Title: A three-functor formalism for commutative von Neumann algebras Show Chinese title

Title: 一种关于交换冯·诺伊曼代数的三函子形式主义

Andre G. Henriques, Thomas A. Wasserman

Comments: 25 pages. Comments welcome!

Subjects: Operator Algebras (math.OA) ; Category Theory (math.CT) ; Quantum Algebra (math.QA)

[19] arXiv:2504.10328 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Continuous fields of interval algebras Show Chinese title

Title: 连续区间代数场

Laurent Cantier

Comments: 18 pages, comments are welcome :)

Subjects: Operator Algebras (math.OA)

[20] arXiv:2504.11614 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: The C$^*$-algebra of a composition reflection Show Chinese title

Title: 复合反射的C$^*$-代数

Esteban Andruchow

Subjects: Operator Algebras (math.OA) ; Functional Analysis (math.FA)

[21] arXiv:2504.11639 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Twisted Steinberg algebras, regular inclusions and induction Show Chinese title

Title: 扭缠Steinberg代数、正则包含和诱导

M. Dokuchaev, R. Exel, H. Pinedo

Comments: This update includes an alternative characterization of regular inclusions (Proposition 5.9)

Subjects: Operator Algebras (math.OA) ; Rings and Algebras (math.RA) ; Representation Theory (math.RT)

[22] arXiv:2504.11677 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: An Ideal Correspondence Result for Crossed Products by Quantum Groups Show Chinese title

Title: 一个关于量子群交叉积的理想对应结果

Matthew Gillespie

Comments: 34 pages

Subjects: Operator Algebras (math.OA)

[23] arXiv:2504.11715 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Continuity for the spectral propinquity of the Dirac operators associated with an analytic path of Riemannian metrics Show Chinese title

Title: 与黎曼度量解析路径相关的狄拉克算子的谱接近性的连续性

Carla Farsi, Frederic Latremoliere

Comments: 15 pages

Subjects: Operator Algebras (math.OA)

[24] arXiv:2504.12730 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: On a Rokhlin property for abelian group actions on C$^*$-algebras Show Chinese title

Title: 关于阿贝尔群作用于C$^*$-代数的Rokhlin性质

Johannes Christensen, Robert Neagu, Gábor Szabó

Subjects: Operator Algebras (math.OA)

[25] arXiv:2504.12843 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Quadratic subproduct systems, free products, and their C*-algebras Show Chinese title

Title: 二次子积系统，自由积及其C*-代数

Francesca Arici, Yufan Ge

Subjects: Operator Algebras (math.OA) ; K-Theory and Homology (math.KT) ; Quantum Algebra (math.QA) ; Rings and Algebras (math.RA)

[26] arXiv:2504.13470 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: On cleanness of AW*-algebras Show Chinese title

Title: 关于AW*-代数的清洁性

Lu Cui, Minghui Ma

Subjects: Operator Algebras (math.OA)

[27] arXiv:2504.13530 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Metrics on $C^{\ast}$-algebras of Étale groupoids from length functions Show Chinese title

Title: 关于长度函数的 Étale 群胚的$C^{\ast}$-代数上的度量

Arnab Chattopadhyay, Md Amir Hossain, Soumalya Joardar

Comments: 14 pages

Subjects: Operator Algebras (math.OA)

[28] arXiv:2504.13708 (cross-list from math.OA) [cn-pdf, pdf, other]

Title: Categories of abstract and noncommutative measurable spaces Show Chinese title

Title: 抽象和非交换可测空间的范畴

Tobias Fritz, Antonio Lorenzin

Comments: 61 pages

Subjects: Operator Algebras (math.OA) ; Category Theory (math.CT) ; Probability (math.PR) ; Quantum Physics (quant-ph)

[29] arXiv:2504.14454 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Primality and the ideal intersection property for reduced crossed products Show Chinese title

Title: 素性与约化交叉乘积的理想交性质

Matthew Kennedy, Larissa Kroell, Camila F. Sehnem

Comments: 51 pages

Subjects: Operator Algebras (math.OA) ; Dynamical Systems (math.DS)

[30] arXiv:2504.14579 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Fixed-point permanence under actions by finite quantum groups Show Chinese title

Title: 有限量子群作用下的不动点永续性

Alexandru Chirvasitu

Comments: 7 pages + references

Subjects: Operator Algebras (math.OA) ; Functional Analysis (math.FA) ; Quantum Algebra (math.QA)

[31] arXiv:2504.16963 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: $C^*$- Colored graph algebras Show Chinese title

Title: $C^*$- 有色图代数

Farrokh Razavinia

Subjects: Operator Algebras (math.OA) ; Combinatorics (math.CO) ; Quantum Algebra (math.QA)

[32] arXiv:2504.17190 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Density of irreducible operators in the trace-class norm Show Chinese title

Title: 迹类范数下不可约算子的稠密性

Junsheng Fang, Chunlan Jiang, Minghui Ma, Rui Shi, Tianze Wang

Comments: 40 pages

Subjects: Operator Algebras (math.OA) ; Functional Analysis (math.FA)

[33] arXiv:2504.17495 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: The inverse-closed subalgebra of $C^{*}(G,A)$ Show Chinese title

Title: $C^{*}(G,A)$ 的逆闭子代数

Jianjun Chen

Subjects: Operator Algebras (math.OA)

[34] arXiv:2504.18850 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Integral representation of translation-invariant operators on reproducing kernel Hilbert spaces Show Chinese title

Title: 具有再生核的 Hilbert 空间上平移不变算子的积分表示

Shubham R. Bais, Egor A. Maximenko, D. Venku Naidu

Comments: 33 pages

Subjects: Operator Algebras (math.OA) ; Functional Analysis (math.FA)

[35] arXiv:2504.19425 (cross-list from math.OA) [cn-pdf, pdf, other]

Title: Fibrewise compactifications and generalised limits in commutative and noncommutative topology Show Chinese title

Title: 纤维紧化和交换与非交换拓扑中的广义极限

Alexander Mundey

Comments: 42 pages

Subjects: Operator Algebras (math.OA) ; General Topology (math.GN)

[36] arXiv:2504.20850 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Nuclear Dimension and Rigidity Results for Virtually Abelian Groups Show Chinese title

Title: 核维数和几乎阿贝尔群的刚性结果

Frankie Chan, S. Joseph Lippert, Iason Moutzouris, Ellen Weld

Comments: 20 pages, 1 appendix; New version has new title and contains additional section

Subjects: Operator Algebras (math.OA) ; Group Theory (math.GR) ; Representation Theory (math.RT)

[37] arXiv:2504.21162 (cross-list from math.OA) [cn-pdf, pdf, html, other]

Title: Categorical dualtiy for Yetter-Drinfeld C*-algebras. Beyond the braided-commutative case Show Chinese title

Title: Yetter-Drinfeld C*-代数的范畴对偶。 超越辫交换的情形

Lucas Hataishi, Makoto Yamashita

Comments: 19 pages, split off part of arXiv:2205.06663 as a separate paper

Subjects: Operator Algebras (math.OA) ; Quantum Algebra (math.QA)

[38] arXiv:2504.00164 (cross-list from math.KT) [cn-pdf, pdf, html, other]

Title: K-theory of Minkowski question-mark function Show Chinese title

Title: 闵可夫斯基问号函数的K理论

Igor V. Nikolaev

Comments: 10 pages, 2 figures

Subjects: K-Theory and Homology (math.KT) ; Number Theory (math.NT) ; Operator Algebras (math.OA)

[39] arXiv:2504.03340 (cross-list from math.QA) [cn-pdf, pdf, html, other]

Title: The Levi-Civita connection and Chern connections for cocycle deformations of Kähler manifolds Show Chinese title

Title: 卡拉布雷蒂连接和柯西-黎曼连接对于凯勒流形的上同调变形

Jyotishman Bhowmick, Bappa Ghosh

Comments: The classical case is explained in detail. The introduction has been rewritten. 33 pages

Subjects: Quantum Algebra (math.QA) ; Mathematical Physics (math-ph) ; Operator Algebras (math.OA)

[40] arXiv:2504.05374 (cross-list from hep-th) [cn-pdf, pdf, html, other]

Title: von Neumann Subfactors and Non-invertible Symmetries Show Chinese title

Title: 冯·诺依曼子因子与非可逆对称性

Xingyang Yu, Hao Y. Zhang

Comments: 43 pages + an appendix, 13 tables, 24 figures; v2: minor changes and added references

Subjects: High Energy Physics - Theory (hep-th) ; Operator Algebras (math.OA) ; Quantum Algebra (math.QA)

[41] arXiv:2504.06094 (cross-list from math.QA) [cn-pdf, pdf, html, other]

Title: On the structure of DHR bimodules of abstract spin chains Show Chinese title

Title: 关于抽象自旋链DHR双模的结构

Lucas Hataishi, David Jaklitsch, Corey Jones, Makoto Yamashita

Comments: 29 pages

Subjects: Quantum Algebra (math.QA) ; Mathematical Physics (math-ph) ; Operator Algebras (math.OA)

[42] arXiv:2504.06203 (cross-list from hep-th) [cn-pdf, pdf, html, other]

Title: Factorizing Defects from Generalized Pinning Fields Show Chinese title

Title: 因子化广义钉扎场的缺陷

Fedor K. Popov, Yifan Wang

Comments: 19 pages, 3 figures

Subjects: High Energy Physics - Theory (hep-th) ; Strongly Correlated Electrons (cond-mat.str-el) ; Operator Algebras (math.OA)

[43] arXiv:2504.08357 (cross-list from math.FA) [cn-pdf, pdf, html, other]

Title: Amenability of group actions on compact spaces and the associated Banach algebras Show Chinese title

Title: 群作用在紧空间上的可约性及相关的巴拿赫代数

Hikaru Awazu

Subjects: Functional Analysis (math.FA) ; Group Theory (math.GR) ; Operator Algebras (math.OA)

[44] arXiv:2504.08988 (cross-list from math.GT) [cn-pdf, pdf, html, other]

Title: Strong convergence of uniformly random permutation representations of surface groups Show Chinese title

Title: 曲面群的均匀随机置换表示的强收敛性

Michael Magee, Doron Puder, Ramon van Handel

Comments: 40 pages, 3 figures, now highlighting two recent developments: the result extends to surfaces of variable negative curvature (relying on Hide-Moy-Naud, arXiv::2502.10733), and leads to the first polynomial rate of convergence (by a forthcoming work of Hide-Macera-Thomas)

Subjects: Geometric Topology (math.GT) ; Group Theory (math.GR) ; Operator Algebras (math.OA) ; Probability (math.PR) ; Spectral Theory (math.SP)

[45] arXiv:2504.09576 (cross-list from quant-ph) [cn-pdf, pdf, html, other]

Title: Bimodule Quantum Markov Semigroups Show Chinese title

Title: 双模量子马尔可夫半群

Jinsong Wu, Zishuo Zhao

Subjects: Quantum Physics (quant-ph) ; Functional Analysis (math.FA) ; Operator Algebras (math.OA)

[46] arXiv:2504.09889 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Unital shift equivalence Show Chinese title

Title: 幺态移位等价

Kevin Aguyar Brix, Efren Ruiz

Comments: 15 pages

Subjects: Dynamical Systems (math.DS) ; Operator Algebras (math.OA)

[47] arXiv:2504.11342 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Williams' conjecture holds for graphs of Gelfand-Kirillov dimension three Show Chinese title

Title: 威廉斯猜想对于Gelfand-Kirillov维数为三的图成立

Tran Quang Do, Roozbeh Hazrat, Tran Giang Nam

Subjects: Rings and Algebras (math.RA) ; Dynamical Systems (math.DS) ; Operator Algebras (math.OA)

[48] arXiv:2504.11490 (cross-list from math.FA) [cn-pdf, pdf, html, other]

Title: Some inequalities for log-convex functions of selfadjoint operators on quaternionic Hilbert spaces Show Chinese title

Title: 关于四元数Hilbert空间上自伴算子的对数凸函数的一些不等式

Massoumeh Fashandi

Comments: arXiv admin note: text overlap with arXiv:2504.10616

Subjects: Functional Analysis (math.FA) ; Operator Algebras (math.OA)

[49] arXiv:2504.12935 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Dynamical relationship between CAR algebras and determinantal point processes: point processes at finite temperature and stochastically positive KMS systems Show Chinese title

Title: CAR代数与确定性点过程之间的动态关系：有限温度下的点过程和随机正KMS系统

Ryosuke Sato

Comments: 37 pages

Subjects: Probability (math.PR) ; Mathematical Physics (math-ph) ; Operator Algebras (math.OA)

[50] arXiv:2504.13017 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: A characterization of $C^*$-simplicity of countable groups via Poisson boundaries Show Chinese title

Title: 可数群的$C^*$-简单性通过泊松边界刻画

Andrei Alpeev

Comments: This preprint superseds and expans upon my previous preprint arXiv:2409.02013

Subjects: Dynamical Systems (math.DS) ; Operator Algebras (math.OA) ; Probability (math.PR)