Operator Algebras

Authors and titles for November 2024

[1] arXiv:2411.00182 [pdf, html, other]

Title: Admissible Higson-Roe sequences for transformation groupoids

Moulay-Tahar Benameur, Victor Moulard

Subjects: Operator Algebras (math.OA)

[2] arXiv:2411.00206 [pdf, html, other]

Title: Ordinal graphs and their $\mathrm{C}^*$-algebras

Benjamin Jones

Comments: 31 pages, 5 figures

Subjects: Operator Algebras (math.OA)

[3] arXiv:2411.01678 [pdf, html, other]

Title: Complete W*-categories

André Henriques, Nivedita, David Penneys

Comments: 41 pages; 1 very long table of analogies between Hilbert spaces and complete W*-categories

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

[4] arXiv:2411.02173 [pdf, html, other]

Title: Subhomogeneity in the classification of real rank zero C*-algebras

Qingnan An, Søren Eilers, Guihua Gong, Zhichao Liu

Subjects: Operator Algebras (math.OA)

[5] arXiv:2411.02274 [pdf, html, other]

Title: Coronas and strongly self-absorbing C*-algebras

Ilijas Farah, Gábor Szabó

Comments: 29 pages

Subjects: Operator Algebras (math.OA)

[6] arXiv:2411.02707 [pdf, html, other]

Title: Phase Group Category of Bimodule Quantum Channels

Linzhe Huang, Chunlan Jiang, Zhengwei Liu, Jinsong Wu

Comments: 27pages

Subjects: Operator Algebras (math.OA); Information Theory (cs.IT)

[7] arXiv:2411.02981 [pdf, html, other]

Title: Higher K-groups for operator systems

Walter D. van Suijlekom

Comments: 14 pages, 2 figures

Subjects: Operator Algebras (math.OA); Functional Analysis (math.FA); K-Theory and Homology (math.KT)

[8] arXiv:2411.04860 [pdf, html, other]

Title: Hyperrigidity II: $R$-dilations and ideals

Paweł Pietrzycki, Jan Stochel

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

[9] arXiv:2411.04875 [pdf, html, other]

Title: Upper bounds of numerical radius and $a$-numerical radius in $\mathcal{C}^*$-algebra setting using Orlicz functions

Saikat Mahapatra, Riddhick Birbonshi, Arnab Patra

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

[10] arXiv:2411.05136 [pdf, html, other]

Title: A Class of Freely Complemented von Neumann Subalgebras of $L\mathbb{F}_n$

Nicholas Boschert, Ethan Davis, Patrick Hiatt

Subjects: Operator Algebras (math.OA)

[11] arXiv:2411.05178 [pdf, html, other]

Title: $C^*$-simplicity and boundary actions of discrete quantum groups

Benjamin Anderson-Sackaney, Roland Vergnioux

Comments: 25 pages

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

[12] arXiv:2411.05598 [pdf, html, other]

Title: Shift equivalence relations through the lens of C*-correspondences

Boris Bilich, Adam Dor-On, Efren Ruiz

Comments: 25 pages

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

[13] arXiv:2411.06999 [pdf, html, other]

Title: Flows on uniform Roe algebras

Bruno de Mendonça Braga, Alcides Buss, Ruy Exel

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

[14] arXiv:2411.08084 [pdf, html, other]

Title: Application of Operator Theory for the Collatz Conjecture

Takehiko Mori

Comments: 27 pages

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

[15] arXiv:2411.08086 [pdf, html, other]

Title: Absolutely dilatable bimodule maps

Alexandros Chatzinikolaou, Ivan G. Todorov, Lyudmila Turowska

Comments: 30 pages

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

[16] arXiv:2411.09372 [pdf, html, other]

Title: Weak-* and completely isometric structure of noncommutative function algebras

Jeet Sampat, Orr Shalit

Comments: 27 pages

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

[17] arXiv:2411.09939 [pdf, html, other]

Title: Self-similar groupoid actions on k-graphs, and invariance of K-theory for cocycle homotopies

Alexander Mundey, Aidan Sims

Comments: 18 pages

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

[18] arXiv:2411.12461 [pdf, html, other]

Title: Convergence of noncommutative spherical averages for actions of free groups

Panchugopal Bikram

Comments: 40 pages

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

[19] arXiv:2411.13804 [pdf, html, other]

Title: The Brown Measure of Non-Hermitian Sums of Projections

Max Sun Zhou

Comments: 31 pages, 2 figures

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

[20] arXiv:2411.14027 [pdf, html, other]

Title: An inverse semigroup approach to self-similar k-graph $C^*$-algebras and simplicity

Hossein Larki

Comments: 38 pages

Subjects: Operator Algebras (math.OA)

[21] arXiv:2411.14326 [pdf, html, other]

Title: Nuclear C*-algebras and similarity problem

Evangelos Papapetros

Subjects: Operator Algebras (math.OA)

[22] arXiv:2411.01605 (cross-list from math.FA) [pdf, html, other]

Title: Spectral set, complete spectral set and dilation for Banach space operators

Swapan Jana, Sourav Pal

Comments: 15 pages

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

[23] arXiv:2411.01646 (cross-list from math.KT) [pdf, other]

Title: Coronas and Callias type operators in coarse geometry

Ulrich Bunke, Matthias Ludewig

Comments: 106 pages

Subjects: K-Theory and Homology (math.KT); Algebraic Topology (math.AT); Differential Geometry (math.DG); Operator Algebras (math.OA)

[24] arXiv:2411.01684 (cross-list from math.FA) [pdf, html, other]

Title: Classification of abelian finite-dimensional $C^*$-algebras by orthogonality

Bojan Kuzma, Sushil Singla

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

[25] arXiv:2411.01741 (cross-list from math.RA) [pdf, other]

Title: Williams' and Graded Equivalence Conjectures for small graphs

Roozbeh Hazrat, Elizabeth Pacheco

Comments: 33 pages

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

[26] arXiv:2411.01831 (cross-list from math.FA) [pdf, html, other]

Title: Products of two orthogonal projections

Jaydeep Bhattacharjee, Jaydeb Sarkar

Comments: 21 pages

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

[27] arXiv:2411.01933 (cross-list from math.FA) [pdf, html, other]

Title: Invariant subspaces for finite index shifts in Hardy spaces and the invariant subspace problem for finite defect operators

Filippo Bracci, Eva A. Gallardo-Gutiérrez

Comments: this new version takes into account some references related to the paper

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

[28] arXiv:2411.02474 (cross-list from math.GR) [pdf, html, other]

Title: Extending Strongly Ulam Stable Groups and Towards Inductivity

Mason Sharp

Comments: 14 pages

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

[29] arXiv:2411.02593 (cross-list from math.FA) [pdf, html, other]

Title: Noncommutative geometry on the Berkovich projective line

Masoud Khalkhali, Damien Tageddine

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

[30] arXiv:2411.03102 (cross-list from math.QA) [pdf, html, other]

Title: Levi-Civita connection on the irreducible quantum flag manifolds

Jyotishman Bhowmick, Bappa Ghosh, Andrey O. Krutov, Réamonn Ó Buachalla

Comments: Minor errors fixed

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

[31] arXiv:2411.03259 (cross-list from quant-ph) [pdf, other]

Title: Robust self-testing for nonlocal games with robust game algebras

Yuming Zhao

Comments: 59 pages. Part of this work was completed as the author's PhD thesis at the University of Waterloo

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

[32] arXiv:2411.03767 (cross-list from math.AP) [pdf, other]

Title: Convergence of layer potentials and Riemann-Hilbert problem on extension domains

Gabriel Claret (MICS), Anna Rozanova-Pierrat (MICS), Alexander Teplyaev (UCONN)

Subjects: Analysis of PDEs (math.AP); Complex Variables (math.CV); Functional Analysis (math.FA); Operator Algebras (math.OA)

[33] arXiv:2411.04012 (cross-list from math.QA) [pdf, other]

Title: Projective Versions of Spatial Partition Quantum Groups

Nicolas Faroß

Comments: 39 pages

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

[34] arXiv:2411.05484 (cross-list from math.FA) [pdf, html, other]

Title: Divided Differences and Multivariate Holomorphic Calculus

Luiz Hartmann, Matthias Lesch

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

[35] arXiv:2411.07582 (cross-list from math.RA) [pdf, html, other]

Title: The Talented Monoid of Higher-Rank Graphs with Applications to Kumjian-Pask Algebras

Roozbeh Hazrat, Promit Mukherjee, David Pask, Sujit Kumar Sardar

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

[36] arXiv:2411.07710 (cross-list from math.FA) [pdf, html, other]

Title: Symmetrized pseudofunction algebras from $L^p$-representations and amenability of locally compact groups

Emilie Mai Elkiær

Comments: 17 pages

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

[37] arXiv:2411.08828 (cross-list from math.CA) [pdf, html, other]

Title: Study of dynamical symmetrietry algebra of $\Psi_2$-Humbert function

Ayman Shehata, Dinesh Kumar

Subjects: Classical Analysis and ODEs (math.CA); Operator Algebras (math.OA)

[38] arXiv:2411.09324 (cross-list from math.FA) [pdf, html, other]

Title: Riesz-Schur transforms

Adrian González-Pérez, Javier Parcet, Jorge Pérez García, Éric Ricard

Comments: Minor improvements

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

[39] arXiv:2411.10311 (cross-list from math.PR) [pdf, html, other]

Title: Planar Novikov-Shubin invariant for adjacency matrices of structured directed dense random graphs

Torben Krüger, David Renfrew

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

[40] arXiv:2411.10771 (cross-list from math.FA) [pdf, html, other]

Title: On the Berezin range and the Berezin radius of some operators

Athul Augustine, M. Garayev, P. Shankar

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

[41] arXiv:2411.11043 (cross-list from math.QA) [pdf, html, other]

Title: An analytic characterization of freeness for finitely generated discrete quantum groups

Yoonje Jeong, Sang-Gyun Youn

Comments: 20 pages, 6 figures

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

[42] arXiv:2411.11883 (cross-list from math.FA) [pdf, html, other]

Title: Operator Characterization via Projectors and Nilpotents

Shih-Yu Chang

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

[43] arXiv:2411.13062 (cross-list from math.PR) [pdf, html, other]

Title: Graphon-Theoretic Approach to Central Limit Theorems for $\epsilon$-Independence

Guillaume Cébron, Patrick Oliveira Santos, Pierre Youssef

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

[44] arXiv:2411.13735 (cross-list from math.FA) [pdf, html, other]

Title: $L^p$-spectral triples and $p$-quantum compact metric spaces

Alonso Delfín, Carla Farsi, Judith Packer

Comments: AMSLaTeX; 19 pages

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

[45] arXiv:2411.14391 (cross-list from math-ph) [pdf, html, other]

Title: Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product

Maurice de Gosson

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