OOIR: Observatory of International Research

Papers

(The TQCC 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 2021-04-01 to 2025-04-01.)

Article	Citations
The Radul cocycle, the Chern–Connes character, and manifolds with conical singularities	16
Self-similar quantum groups	9
Fundamentals of Lie categories	8
Algebraic aspects of connections: From torsion, curvature, and post-Lie algebras to Gavrilov's double exponential and special polynomials	6
Quantum van Est isomorphism	6
Quantum $\mathrm{SU}(3)$ as the $C^{*}$-algebra of a $2$-graph	6
A groupoid approach to the Wodzicki residue and the Kontsevich–Vishik trace	5
The strong homotopy structure of Poisson reduction	4
Invariant Markov semigroups on quantum homogeneous spaces	4
On singular foliations tangent to a given hypersurface	4
Deformation spaces, rescaled bundles, and the generalized Kirillov formula	3
Cyclic Gerstenhaber–Schack cohomology	3
Cosimplicial monoids and deformation theory of tensor categories	3
Hopf–Galois structures on ambiskew polynomial rings	3
Strict quantization of coadjoint orbits	3
Cyclic cocycles in the spectral action	3
Deformation and $K$-theoretic index formulae on boundary groupoids	3
Categorical resolutions of filtered schemes	3
Cyclic $A_\infty$-algebras and double Poisson algebras	3
Ideal structure and pure infiniteness of inverse semigroup crossed products	3
Generators in $\mathcal{Z}$-stable $C^*$-algebras of real rank zero	3
Subproduct systems with quantum group symmetry	2
Nowhere scattered $C^*$-algebras	2
Hochschild homology of reductive $p$-adic groups	2
Zappa–Szép products for partial actions of groupoids on left cancellative small categories	2

Finite GK-dimensional pre-Nichols algebras of (super)modular and unidentified type	2
Odd characteristic classes in entire cyclic homology and equivariant loop space homology	2
Relative Poisson bialgebras and Frobenius Jacobi algebras	2
Simplicity of twisted C*-algebras of Deaconu–Renault groupoids	2
Index theorem for homogeneous spaces of Lie groups	2
The coarse geometric $\ell^p$-Novikov conjecture for subspaces of nonpositively curved manifolds	2
Torsors in super-symmetry	2
On the growth of Fourier multipliers	2
Koszul duality for compactly generated derived categories of second kind	2
Conormal homology of manifolds with corners	2
On the braided Connes–Moscovici construction	2
Kernels for noncommutative projective schemes	2
Tracing projective modules over noncommutative orbifolds	2
Universal deformation formula, formality and actions	2
Vanishing first cohomology and strong 1-boundedness for von Neumann algebras	2
On the homotopy groups of the automorphism groups of Cuntz–Krieger algebras	2
The unbounded Kasparov product by a differentiable module	2
Mixed $q$-deformed Araki–Woods von Neumann algebras	2
Pontrjagin duality on multiplicative gerbes	2
Unitary Harish-Chandra representations of real supergroups	2
Poisson cohomology, Koszul duality, and Batalin–Vilkovisky algebras	2
Serre’s theorem for coherent sheaves via Auslander’s techniques	2
Quantum Euclidean spaces with noncommutative derivatives	2
(Quantum) discreteness, spectrum compactness and uniform continuity	2
The inverse function theorem for curved $L$-infinity spaces	1
Twisted tensor products of field algebras	1
Symmetrized non-commutative tori revisited	1
Strongly quasi-local algebras and their $K$-theories	1
Geometric K-homology and the Freed–Hopkins–Teleman theorem	1
Anick type automorphisms and new irreducible representations of Leavitt path algebras	1
Operator norm localization property for equi-approximable families of projections	1
Automorphisms of quantum polynomial rings and Drinfeld Hecke algebras	1
Polynomial log-volume growth and the GK-dimensions of twisted homogeneous coordinate rings	1
Invariants and automorphisms for slice regular functions	1
Induced map on $K$-theory for certain $\Gamma$-equivariant maps between Hilbert spaces	1
Aspects of noncommutative geometry of Bunce–Deddens algebras	1
An analog of the Krein–Milman theorem for certain non-compact convex sets	1
Compact quantum group structures on type-I $\mathrm{C}^*$-algebras	1
Haefliger’s differentiable cohomology	1
A quantitative relative index theorem and Gromov’s conjectures on positive scalar curvature (with an appendix by Jinmin Wang and Zhizhang Xie)	1
Lorentzian fermionic action by twisting Euclidean spectral triples	1
Calabi–Yau structures for multiplicative preprojective algebras	1
The universal Boolean inverse semigroup presented by the abstract Cuntz–Krieger relations	1
Quantum geometry of Boolean algebras and de Morgan duality	1
Quadratic algebras associated with exterior 3-forms	1
Exel–Pardo algebras with a twist	1
Spectral triples with multitwisted real structure	1
Immersions and the unbounded Kasparov product: embedding spheres into Euclidean space	1
Atiyah sequences and connections on principal bundles over Lie groupoids and differentiable stacks	1
Quotients of singular foliations and Lie 2-group actions	1

On some (co)homological invariants of coherent matrix factorizations	1
Hopf-cyclic coefficients in the braided setting	1
Computing the spectral action for fuzzy geometries: from random noncommutative geometry to bi-tracial multimatrix models	1
On anchored Lie algebras and the Connes–Moscovici bialgebroid construction	1
Almost complex structure on finite points from bidirected graphs	1
Noncommutative CW-spectra as enriched presheaves on matrix algebras	1
An equivariant Poincaré duality for proper cocompact actions by matrix groups	1
Homology of complexes over finite tensor categories	1
Lifting theorems for completely positive maps	1
Measurability, spectral densities, and hypertraces in noncommutative geometry	1