OOIR: Observatory of International Research

Papers

(The median citation count of Journal of Noncommutative Geometry is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-03-01 to 2024-03-01.)

Article	Citations
Simple stably projectionless C*-algebras with generalized tracial rank one	17
The dual modular Gromov–Hausdorff propinquity and completeness	9
Leibniz bialgebras, relative Rota–Baxter operators, and the classical Leibniz Yang–Baxter equation	8
The homology of the Katsura–Exel–Pardo groupoid	7
Slice regular functions and orthogonal complex structures over $\mathbb{R}^8$	6
Duality of Gabor frames and Heisenberg modules	5
Quantum groups with projection and extensions of locally compact quantum groups	4
The intertwiner spaces of non-easy group-theoretical quantum groups	4
Deformation-obstruction theory for diagrams of algebras and applications to geometry	4
Quotients of singular foliations and Lie 2-group actions	4
Quasifolds, diffeology and noncommutative geometry	4
K-theory and homotopies of twists on ample groupoids	4
Symmetries of slice monogenic functions	4
Algebraic bivariant $K$-theory and Leavitt path algebras.	4
Hochschild cohomology and orbifold Jacobian algebras associated to invertible polynomials	4
Polyvector fields and polydifferential operators associated with Lie pairs	3
The Higson–Roe sequence for étale groupoids. I. Dual algebras and compatibility with the BC map	3
The universal Boolean inverse semigroup presented by the abstract Cuntz–Krieger relations	3
Odd characteristic classes in entire cyclic homology and equivariant loop space homology	3
Ideals of étale groupoid algebras and Exel’s Effros–Hahn conjecture	3
Quadratic Lie conformal superalgebras related to Novikov superalgebras	3
Quantum Euclidean spaces with noncommutative derivatives	3
On Runge pairs and topology of axially symmetric domains	3
A categorical characterization of quantum projective spaces	3
Coarse assembly maps	3

$A_{\infty}$-coderivations and the Gerstenhaber bracket on Hochschild cohomology	3
Cyclic $A_\infty$-algebras and double Poisson algebras	3
The relative Mishchenko–Fomenko higher index and almost flat bundles. I. The relative Mishchenko–Fomenko index	3
Equivariant vector bundles over quantum spheres	2
On the graded algebras associated with Hecke symmetries	2
Strongly quasi-local algebras and their $K$-theories	2
The index of $G$-transversally elliptic families. II	2
Homotopy Rota–Baxter operators and post-Lie algebras	2
Bounds for the rank of the finite part of operator $K$-theory	2
A Chern–Weil formula for the Chern character of a perfect curved module	2
Partition quantum spaces	2
Callias-type operators associated to spectral triples	2
The Higson–Roe sequence for étale groupoids. II. The universal sequence for equivariant families	2
Non-commutative crepant resolutions for some toric singularities. II	2
Lorentzian fermionic action by twisting Euclidean spectral triples	2
Cyclic cocycles in the spectral action	2
Classification, Koszulity and Artin–Schelter regularity of certain graded twisted tensor products	2
The index of $G$-transversally elliptic families. I	2
Quantum function algebras from finite-dimensional Nichols algebras	2
The gauge group of a noncommutative principal bundle and twist deformations	2
Descent of Hilbert $C$*-modules	2
The factor type of dissipative KMS weights on graph $C$*-algebras	2
Nowhere scattered $C^*$-algebras	2
Invariant Markov semigroups on quantum homogeneous spaces	2
The adiabatic groupoid and the Higson–Roe exact sequence	2
Equivalences of (co)module algebra structures over Hopf algebras	2
Property (T), property (F) and residual finiteness for discrete quantum groups	2
Hecke operators in $KK$-theory and the $K$-homology of Bianchi groups	2
The Novikov conjecture and extensions of coarsely embeddable groups	2
Noncommutative CW-spectra as enriched presheaves on matrix algebras	1
Calabi–Yau structures for multiplicative preprojective algebras	1
Computing the spectral action for fuzzy geometries: from random noncommutative geometry to bi-tracial multimatrix models	1
On a definition of logarithm of quaternionic functions	1
Poisson cohomology, Koszul duality, and Batalin–Vilkovisky algebras	1
Frobenius degenerations of preprojective algebras	1
Mixed $q$-deformed Araki–Woods von Neumann algebras	1
On localized signature and higher rho invariant of fibered manifolds	1
Multiparameter quantum groups at roots of unity	1
Koszul duality for compactly generated derived categories of second kind	1
A noncommutative extension of Mahler’s interpolation theorem	1
Covering-monopole map and higher degree in non-commutative geometry	1
Pseudodifferential operators on filtered manifolds as generalized fixed points	1
Nonnoetherian singularities and their noncommutative blowups	1
On the lifting property for $C^*$-algebras	1
Cup product on $A_\infty$-cohomology and deformations	1
Secondary higher invariants and cyclic cohomology for groups of polynomial growth	1
Vanishing first cohomology and strong 1-boundedness for von Neumann algebras	1
On anchored Lie algebras and the Connes–Moscovici bialgebroid construction	1
The nodal cubic and quantum groups at roots of unity	1
Wheel graph homology classes via Lie graph homology	1

Algebraic aspects of connections: From torsion, curvature, and post-Lie algebras to Gavrilov's double exponential and special polynomials	1
Noncommutative Borsuk–Ulam-type conjectures revisited	1
Ideal structure and pure infiniteness of inverse semigroup crossed products	1
Doob equivalence and non-commutative peaking for Markov chains	1
Quasi-homogeneity of potentials	1
Strict quantization of coadjoint orbits	1
Lie structure on the Hochschild cohomology of a family of subalgebras of the Weyl algebra	1
Purely infinite corona algebras and extensions	1
Homology and $K$-theory of dynamical systems II. Smale spaces with totally disconnected transversal	1
Annular representations of free product categories	1
A detailed look on actions on Hochschild complexes especially the degree 1 coproduct and actions on loop spaces	1
Atiyah sequences and connections on principal bundles over Lie groupoids and differentiable stacks	1
Almost commutative $Q$-algebras and derived brackets	1
Geometric K-homology and the Freed–Hopkins–Teleman theorem	1
Quantum geometry of Boolean algebras and de Morgan duality	1
Additivity of higher rho invariant for the topological structure group from a differential point of view	1
The structure of KMS weights on étale groupoid C*-algebras	1
Bivariant K-theory of generalized Weyl algebras	1
Cosimplicial monoids and deformation theory of tensor categories	1
The relative Mishchenko–Fomenko higher index and almost flat bundles II: Almost flat index pairing	1
The strong homotopy structure of Poisson reduction	1
On the Hochschild homology of proper Lie groupoids	1
Quantizations of local surfaces and rebel instantons	1
Post-Hopf algebras, relative Rota--Baxter operators and solutions to the Yang--Baxter equation	1
Connes' integration and Weyl's laws	1
Polarization and deformations of generalized dendriform algebras	1
Iterated Hopf Ore extensions in positive characteristic	1
Lifting theorems for completely positive maps	1