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 2021-02-01 to 2025-02-01.)

Article	Citations
Quantum van Est isomorphism	13
A groupoid approach to the Wodzicki residue and the Kontsevich–Vishik trace	9
On singular foliations tangent to a given hypersurface	8
The strong homotopy structure of Poisson reduction	6
Invariant Markov semigroups on quantum homogeneous spaces	6
Deformation spaces, rescaled bundles, and the generalized Kirillov formula	5
Categorical resolutions of filtered schemes	5
Cyclic Gerstenhaber–Schack cohomology	4
Strict quantization of coadjoint orbits	4
Hopf–Galois structures on ambiskew polynomial rings	4
Cyclic $A_\infty$-algebras and double Poisson algebras	4
Generators in $\mathcal{Z}$-stable $C^*$-algebras of real rank zero	3
Cosimplicial monoids and deformation theory of tensor categories	3
Conormal homology of manifolds with corners	3
Poisson cohomology, Koszul duality, and Batalin–Vilkovisky algebras	3
Cyclic cocycles in the spectral action	3
Deformation and $K$-theoretic index formulae on boundary groupoids	3
Finite GK-dimensional pre-Nichols algebras of (super)modular and unidentified type	3
Koszul duality for compactly generated derived categories of second kind	3
Ideal structure and pure infiniteness of inverse semigroup crossed products	3
Odd characteristic classes in entire cyclic homology and equivariant loop space homology	3
Pontrjagin duality on multiplicative gerbes	3
Unitary Harish-Chandra representations of real supergroups	3
Tracing projective modules over noncommutative orbifolds	2
The Higson–Roe sequence for étale groupoids. II. The universal sequence for equivariant families	2

Quadratic algebras associated with exterior 3-forms	2
Subproduct systems with quantum group symmetry	2
Serre’s theorem for coherent sheaves via Auslander’s techniques	2
Algebraic aspects of connections: From torsion, curvature, and post-Lie algebras to Gavrilov's double exponential and special polynomials	2
The unbounded Kasparov product by a differentiable module	2
Mixed $q$-deformed Araki–Woods von Neumann algebras	2
Kernels for noncommutative projective schemes	2
Nowhere scattered $C^*$-algebras	2
Quantum Euclidean spaces with noncommutative derivatives	2
Index theorem for homogeneous spaces of Lie groups	2
Polynomial log-volume growth and the GK-dimensions of twisted homogeneous coordinate rings	2
Vanishing first cohomology and strong 1-boundedness for von Neumann algebras	2
Self-similar quantum groups	2
Relative Poisson bialgebras and Frobenius Jacobi algebras	2
Hochschild homology of reductive $p$-adic groups	2
Zappa–Szép products for partial actions of groupoids on left cancellative small categories	2
Torsors in super-symmetry	2
Almost complex structure on finite points from bidirected graphs	2
(Quantum) discreteness, spectrum compactness and uniform continuity	2
The coarse geometric $\ell^p$-Novikov conjecture for subspaces of nonpositively curved manifolds	2
Homology of complexes over finite tensor categories	2
Symmetrized non-commutative tori revisited	2
Fundamentals of Lie categories	2
On the braided Connes–Moscovici construction	2
On the growth of Fourier multipliers	2
On the homotopy groups of the automorphism groups of Cuntz–Krieger algebras	2
Simplicity of twisted C*-algebras of Deaconu–Renault groupoids	2
Induced map on $K$-theory for certain $\Gamma$-equivariant maps between Hilbert spaces	1
Cup product on $A_\infty$-cohomology and deformations	1
Aspects of noncommutative geometry of Bunce–Deddens algebras	1
An analog of the Krein–Milman theorem for certain non-compact convex sets	1
Universal deformation formula, formality and actions	1
Spectral triples for noncommutative solenoids and a Wiener’s lemma	1
Quantum geometry of Boolean algebras and de Morgan duality	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
An equivariant Poincaré duality for proper cocompact actions by matrix groups	1
Strongly quasi-local algebras and their $K$-theories	1
Discrete quantum structures II: Examples	1
Immersions and the unbounded Kasparov product: embedding spheres into Euclidean space	1
A cogroupoid associated to preregular forms	1
Lifting theorems for completely positive maps	1
Quotients of singular foliations and Lie 2-group actions	1
Operator norm localization property for equi-approximable families of projections	1
Haefliger’s differentiable cohomology	1
Noncommutative CW-spectra as enriched presheaves on matrix algebras	1
On some (co)homological invariants of coherent matrix factorizations	1
Geometric K-homology and the Freed–Hopkins–Teleman theorem	1
Equivariant vector bundles over quantum spheres	1
Measured quantum groupoids on a finite basis and equivariant Kasparov theory	1

Approximate equivalence of representations of AH algebras into semifinite von Neumann factors	1
Explicit Rieffel induction module for quantum groups	1
Measurability, spectral densities, and hypertraces in noncommutative geometry	1
A quantitative relative index theorem and Gromov’s conjectures on positive scalar curvature (with an appendix by Jinmin Wang and Zhizhang Xie)	1
Compact quantum group structures on type-I $\mathrm{C}^*$-algebras	1
Exel–Pardo algebras with a twist	1
Anick type automorphisms and new irreducible representations of Leavitt path algebras	1
Atiyah sequences and connections on principal bundles over Lie groupoids and differentiable stacks	1
Automorphisms of quantum polynomial rings and Drinfeld Hecke algebras	1
Lorentzian fermionic action by twisting Euclidean spectral triples	1
On anchored Lie algebras and the Connes–Moscovici bialgebroid construction	1
The universal Boolean inverse semigroup presented by the abstract Cuntz–Krieger relations	1
Twisted tensor products of field algebras	1