Operator Algebras

Authors and titles for math.OA in Dec 2023, skipping first 50

[51]  arXiv:2312.02895 (cross-list from math.FA) [pdf, ps, other]

Title: The local geometry of idempotent Schur multipliers

Authors: Javier Parcet, Mikael de la Salle, Eduardo Tablate

Comments: 21 pages; v2: many small changes in the presentation

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

[52]  arXiv:2312.03220 (cross-list from math.GR) [pdf, ps, other]

Title: $\mathrm{SL}_{4}(\mathbf{Z})$ is not purely matricial field

Authors: Michael Magee, Mikael de la Salle

Comments: v2: 9 pages; details added in proof, and example for SL3 made explicit. To appear in Comptes Rendus Math\'ematique

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

[53]  arXiv:2312.05002 (cross-list from math.FA) [pdf, ps, other]

Title: Additive and multiplicative properties of Drazin inverse under new weakly commutativity condition

Authors: Rounak Biswas, Falguni Roy

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

[54]  arXiv:2312.06143 (cross-list from math.FA) [pdf, ps, other]

Title: The harmonic oscillator on the Moyal-Groenewold plane: an approach via Lie groups and twisted Weyl tuples

Authors: Cédric Arhancet, Lukas Hagedorn, Christoph Kriegler, Pierre Portal

Comments: 67 pages, improvements, new Example 11.7

Subjects: Functional Analysis (math.FA); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Group Theory (math.GR); Operator Algebras (math.OA)

[55]  arXiv:2312.06477 (cross-list from math-ph) [pdf, ps, other]

Title: Alterfold Topological Quantum Field Theory

Authors: Zhengwei Liu, Shuang Ming, Yilong Wang, Jinsong Wu

Comments: 35 pages

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

[56]  arXiv:2312.06563 (cross-list from math.FA) [pdf, ps, other]

Title: Commutativity and Null Spaces of Unbounded Operators on Hilbert Space

Authors: Richard Kadison, Simon Levin, Zhe Liu

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

[57]  arXiv:2312.07257 (cross-list from math.FA) [pdf, ps, other]

Title: The generalized polar decomposition, the weak complementarity and the parallel sum for adjointable operators on Hilbert $C^*$-modules

Authors: Xiaofeng Zhang, Xiaoyi Tian, Qingxiang Xu

Comments: This version is accepted for publication in Banach Journal of Mathematical Analysis

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

[58]  arXiv:2312.08812 (cross-list from math.FA) [pdf, ps, other]

Title: Joint reducing subspaces and orthogonal decompositions of operators in an annulus

Authors: Sourav Pal, Nitin Tomar

Comments: 36 pages

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

[59]  arXiv:2312.09029 (cross-list from math.FA) [pdf, ps, other]

Title: Some points of view on Grothendieck's inequalities

Authors: Erik Christensen

Journal-ref: Linear Algebra Appl (20424)

Subjects: Functional Analysis (math.FA); Information Theory (cs.IT); Mathematical Physics (math-ph); Operator Algebras (math.OA)

[60]  arXiv:2312.09666 (cross-list from math.CT) [pdf, ps, other]

Title: Involutive Markov categories and the quantum de Finetti theorem

Authors: Tobias Fritz, Antonio Lorenzin

Comments: 49 pages

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

[61]  arXiv:2312.10415 (cross-list from math.AP) [pdf, ps, other]

Title: Remarks on a groupoid approach to the Wodzicki residue and the Kontsevich-Vishik trace

Authors: Omar Mohsen

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG); Operator Algebras (math.OA)

[62]  arXiv:2312.10530 (cross-list from math-ph) [pdf, other]

Title: Coloured combinatorial maps and quartic bi-tracial 2-matrix ensembles from noncommutative geometry

Authors: Masoud Khalkhali, Nathan Pagliaroli

Comments: 28 pages, 8 Figures

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

[63]  arXiv:2312.12368 (cross-list from math.QA) [pdf, ps, other]

Title: Easy quantum groups

Authors: Teo Banica

Comments: 400 pages

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

[64]  arXiv:2312.17638 (cross-list from math.NT) [pdf, ps, other]

Title: Artin $L$-functions and noncommutative tori

Authors: Igor V. Nikolaev

Comments: 9 pages. arXiv admin note: text overlap with arXiv:2309.05779

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

[65]  arXiv:2312.13213 (cross-list from quant-ph) [pdf, other]

Title: Quantum transition probability in convex sets and self-dual cones

Authors: Gerd Niestegge

Comments: 23 pages, 3 figures

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

[66]  arXiv:2312.13406 (cross-list from quant-ph) [pdf, other]

Title: A condition for the zero-error capacity of quantum channels

Authors: Marciel M. Oliveira, Francisco M. de Assis, Micael A. Dias

Comments: Four pages, conference paper

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