Operator Algebras

Authors and titles for math.OA in Dec 2023

[1]  arXiv:2312.00341 [pdf, ps, other]

Title: Convolution algebras of double groupoids and strict 2-groups

Authors: Angel Roman, Joel Villatoro

Subjects: Operator Algebras (math.OA)

[2]  arXiv:2312.00523 [pdf, ps, other]

Title: Quantization of locally compact groups associated with essentially bijective $1$-cocycles

Authors: Pierre Bieliavsky, Victor Gayral, Sergey Neshveyev, Lars Tuset

Comments: 23 pages

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

[3]  arXiv:2312.00893 [pdf, ps, other]

Title: Geometric Property (T) and Kazhdan projections

Authors: Ignacio Vergara

Comments: 12 pages. Comments welcome

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

[4]  arXiv:2312.01161 [pdf, ps, other]

Title: Sections of Fell Bundles over Étale Groupoids

Authors: Tristan Bice

Comments: This is a revised and expanded version of the first part of arXiv:2104.12415

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

[5]  arXiv:2312.01462 [pdf, ps, other]

Title: Categorical relations and bipartite entanglement in tensor cones for Toeplitz and Fejér-Riesz operator systems

Authors: Douglas Farenick

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

[6]  arXiv:2312.01516 [pdf, other]

Title: Quantum properties of $\mathcal F$-cographs

Authors: Paul Meunier

Comments: 50 pages, 1 figure. Two appendices added and some minor changes

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

[7]  arXiv:2312.01533 [pdf, ps, other]

Title: A Cup Product Obstruction to Frobenius Stability

Authors: Forrest Glebe

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

[8]  arXiv:2312.01794 [pdf, ps, other]

Title: Lie theoretic approach to unitary groups of $C^*$-algebras

Authors: Hiroshi Ando, Michal Doucha

Comments: 19 pages

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

[9]  arXiv:2312.02370 [pdf, ps, other]

Title: Cross-sectional C*-algebras associated to subgroups

Authors: Damián Ferraro

Subjects: Operator Algebras (math.OA)

[10]  arXiv:2312.03204 [pdf, ps, other]

Title: Relative topological principality and the ideal intersection property for groupoid C*-algebras

Authors: Chris J. Eagle, Gavin Goerke, Marcelo Laca

Comments: 17 pages

Subjects: Operator Algebras (math.OA)

[11]  arXiv:2312.03622 [pdf, ps, other]

Title: Inclusions of real rank zero

Authors: James Gabe, Robert Neagu

Comments: Improved the result in Theorem 5.7 and fixed the statement of Theorem 5.9

Subjects: Operator Algebras (math.OA)

[12]  arXiv:2312.03980 [pdf, ps, other]

Title: Minimal dynamical systems on prime C*-algebras

Authors: Eberhard Kirchberg, N. Christopher Phillips

Comments: This paper was nearly done about 10 years ago, but was pushed aside under the press of other projects, and then forgotten. It is now being posted, after Kirchberg's death. The key preprint of Harnisch and Kirchberg was never published and has disappeared from the website of the Universitaet Muenster. It is temporarily at: this https URL

Subjects: Operator Algebras (math.OA)

[13]  arXiv:2312.04614 [pdf, ps, other]

Title: Conditionally monotone cumulants via shuffle algebra

Authors: Adrian Celestino, Kurusch Ebrahimi-Fard

Comments: 27 pages

Subjects: Operator Algebras (math.OA); Combinatorics (math.CO); Probability (math.PR); Rings and Algebras (math.RA)

[14]  arXiv:2312.04702 [pdf, ps, other]

Title: A type III$_1$ factor with the smallest outer automorphism group

Authors: Soham Chakraborty

Comments: 19 pages

Subjects: Operator Algebras (math.OA)

[15]  arXiv:2312.04791 [pdf, ps, other]

Title: An extension property for noncommutative convex sets and duality for operator systems

Authors: Adam Humeniuk, Matthew Kennedy, Nicholas Manor

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

[16]  arXiv:2312.05617 [pdf, ps, other]

Title: Positivity is undecidable in tensor products of free algebras

Authors: Arthur Mehta, William Slofstra, Yuming Zhao

Comments: 45 pages

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

[17]  arXiv:2312.06189 [pdf, ps, other]

Title: $K$-stability of $C^*$-algebras generated by isometries and unitaries with twisted commutation relations

Authors: Shreema Subhash Bhatt, Bipul Saurabh

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

[18]  arXiv:2312.06433 [pdf, ps, other]

Title: On Multiparameter CAR Flows

Authors: C. H. Namitha, S. Sundar

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

[19]  arXiv:2312.06813 [pdf, ps, other]

Title: Bi-Free Probability Theory and Reflection Positivity

Authors: Roland Speicher

Subjects: Operator Algebras (math.OA)

[20]  arXiv:2312.07702 [pdf, ps, other]

Title: Powers averaging for actions on $C(X)$-algebras

Authors: Tattwamasi Amrutam, Ilan Hirshberg, Apurva Seth

Comments: Minor Revisions

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

[21]  arXiv:2312.08061 [pdf, ps, other]

Title: An example of an infinite amenable group with the ISR property

Authors: Yongle Jiang, Xiaoyan Zhou

Comments: Minor changes, accepted to Math. Z

Subjects: Operator Algebras (math.OA)

[22]  arXiv:2312.08215 [pdf, ps, other]

Title: Images of Order Zero Maps

Authors: Kristin Courtney, Wilhelm Winter

Comments: 33 pages, comments welcome

Subjects: Operator Algebras (math.OA)

[23]  arXiv:2312.08345 [pdf, ps, other]

Title: McDuff and Prime von Neumann algebras arising from Thompson-Like Groups

Authors: Rolando de Santiago, Patrick DeBonis, Krishnendu Khan

Comments: Correction to fix rendering of Figure 2

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

[24]  arXiv:2312.08683 [pdf, other]

Title: A twist over a minimal étale groupoid that is topologically nontrivial over the interior of the isotropy

Authors: Becky Armstrong, Abraham C.S. Ng, Aidan Sims, Yumiao Zhou

Comments: 14 pages

Subjects: Operator Algebras (math.OA)

[25]  arXiv:2312.08907 [pdf, ps, other]

Title: Roe algebras of coarse spaces via coarse geometric modules

Authors: Diego Martínez, Federico Vigolo

Comments: Minor improvements and corrected typos throughout the paper, slightly changed the abstract

Subjects: Operator Algebras (math.OA); Metric Geometry (math.MG)