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 2022-05-01 to 2026-05-01.)

Article	Citations
Deformation spaces, rescaled bundles, and the generalized Kirillov formula	12
A groupoid approach to the Wodzicki residue and the Kontsevich–Vishik trace	10
Cosimplicial monoids and deformation theory of tensor categories	8
Corrigendum to “Derived equivalences constructed by Milnor patching”	8
An equivariant Poincaré duality for proper cocompact actions by matrix groups	6
Weighted Poisson polynomial rings in dimension three	6
The quantum Perron–Frobenius space	6
Tilting objects in graded singularity categories of certain toric Gorenstein singularities	6
Chern classes of quantizable coisotropic bundles	5
Polynomial log-volume growth and the GK-dimensions of twisted homogeneous coordinate rings	5
A short proof of an index theorem, II	5
Spectral triples for noncommutative solenoids and a Wiener’s lemma	5
Symmetrized non-commutative tori revisited	5
Explicit Rieffel induction module for quantum groups	5
Exel–Pardo algebras with a twist	5
On a Rokhlin property for abelian group actions on C$^{*}$-algebras	5
Tracing projective modules over noncommutative orbifolds	5
Deformations of modified $r$-matrices and cohomologies of related algebraic structures	4
Nonnoetherian singularities and their noncommutative blowups	4
Homomorphisms into simple $\mathcal{Z}$-stable $C^*$-algebras, II	4
Non-commutative ambits and equivariant compactifications	4
A cocyclic construction of $S^1$-equivariant homology and application to string topology	4
Tracial approximation and ${\mathcal{Z}}$-stability	3
Perturbations of principal submodules in the Drury–Arveson space	3
Distortion in graphs of groups and rapid decay classification of $3$-manifold groups	3

A short proof of the localization formula for the loop space Chern character of spin manifolds	3
From length-preserving pushouts of graphs to one-surjective pullbacks of graph algebras	3
Controlled $K$-theory and $K$-homology	3
The maximal coarse Baum–Connes conjecture for spaces that admit an A-by-FCE coarse fibration structure	3
On isometries of spectral triples associated to $\mathrm{AF}$-algebras and crossed products	3
Irreducible representations of the crystallization of the quantized function algebras $C(\operatorname{SU}_{q}(n+1))$	3
On a definition of logarithm of quaternionic functions	3
Limit multiplicities and von Neumann dimensions	3
Pontrjagin duality on multiplicative gerbes	3
Some Artin–Schelter regular algebras from dual reflection groups and their geometry	3
The Artin component and simultaneous resolution via reconstruction algebras of type $A$	3
Generalizing Pauli spin matrices using cubic lattices	3
Finite GK-dimensional pre-Nichols algebras of (super)modular and unidentified type	3
Hochschild homology of reductive $p$-adic groups	3
A remark on the Hochschild dimension of liberated quantum groups	3
Polarization and deformations of generalized dendriform algebras	2
Mixed $q$-deformed Araki–Woods von Neumann algebras	2
Compact quantum homogeneous Kähler spaces	2
On some (co)homological invariants of coherent matrix factorizations	2
Twisted tensor products of field algebras	2
On the $C^{*}$-algebra associated with the full adele ring of a number field	2
Deformation of algebras associated with group cocycles	2
Cohomology of Lie coalgebras	2
Isometric actions of compact quantum groups on graph $C^{\ast}$-algebras	2
On singular foliations tangent to a given hypersurface	2
Quantum geometry of Boolean algebras and de Morgan duality	2
Quantum Euclidean spaces with noncommutative derivatives	2
Aspects of noncommutative geometry of Bunce–Deddens algebras	2
A cogroupoid associated to preregular forms	2
HPD-invariance of the Tate conjecture(s)	2
A higher index and rapidly decaying kernels	2
The centrally extended Heisenberg double of quantum $\mathrm{SL}_{2}$	2
The strong homotopy structure of Poisson reduction	2
Nowhere scattered $C^*$-algebras	2
Calabi–Yau structures for multiplicative preprojective algebras	2
Serre’s theorem for coherent sheaves via Auslander’s techniques	2
Relative Poisson bialgebras and Frobenius Jacobi algebras	2
Multiparameter quantum groups at roots of unity	2
Symmetry Reduction of States I	2
Morita equivalence of two $\ell^p$ Roe-type algebras	1
An equivariant pullback structure of trimmable graph $C^*$-algebras	1
Iterated Hopf Ore extensions in positive characteristic	1
On the growth of Fourier multipliers	1
Discrete quantum structures II: Examples	1
Automorphisms of quantum polynomial rings and Drinfeld Hecke algebras	1
Zappa–Szép products for partial actions of groupoids on left cancellative small categories	1
Spectral asymptotics for quantized derivatives on quantum Euclidean spaces	1
Non-embeddable II$_1$ factors resembling the hyperfinite II$_1$ factor	1
Enlargeable foliations and the monodromy groupoid	1
Villadsen algebras are singly generated	1

Subproduct systems with quantum group symmetry	1
Coarse quotients of metric spaces and embeddings of uniform Roe algebras	1
Twisted Hodge diamonds give rise to non-Fourier–Mukai functors	1
A note on traces for the Heisenberg calculus	1
Non-commutative disintegrations: Existence and uniqueness in finite dimensions	1
Poisson–Lie group structures on semidirect products	1
Nuclearity of hypergraph $C$*-algebras	1
H-unitality of smooth groupoid algebras	1
Universal deformation formula, formality and actions	1
Ideal structure and pure infiniteness of inverse semigroup crossed products	1
Veronese subalgebras and Veronese morphisms for a class of Yang–Baxter algebras	1
The Arens-Michael envelopes of the Jordan plane and $U_q(\mathfrak{sl}(2))$	1
Invariants and automorphisms for slice regular functions	1
Smooth Calabi–Yau structures and the noncommutative Legendre transform	1
Symmetries of simple $A\mathbb{T}$-algebras	1
Skew Knörrer’s periodicity theorem	1
Expanders are counterexamples to the $\ell^p$ coarse Baum–Connes conjecture	1
Projective representation theory for compact quantum groups and the quantum Baum–Connes assembly map	1
Finite approximation properties of $C^{*}$-modules II	1
Measurability, spectral densities, and hypertraces in noncommutative geometry	1
(Quantum) discreteness, spectrum compactness and uniform continuity	1
Haefliger’s differentiable cohomology	1
Convergence of Peter–Weyl truncations of compact quantum groups	1
Quantum $\mathrm{SU}(3)$ as the $C^{*}$-algebra of a $2$-graph	1
On the braided Connes–Moscovici construction	1
The points and localisations of the topos of $M$-sets	1
On the Hochschild homology of proper Lie groupoids	1
Post-Hopf algebras, relative Rota–Baxter operators and solutions to the Yang–Baxter equation	1
Quantum inverse semigroups	1
Homotopy Rota–Baxter operators and post-Lie algebras	1
On the realization of a class of $\text{SL}(2,\mathbb{Z})$ representations	1