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 2021-05-01 to 2025-05-01.)

Article	Citations
A groupoid approach to the Wodzicki residue and the Kontsevich–Vishik trace	17
Deformation spaces, rescaled bundles, and the generalized Kirillov formula	8
Tracing projective modules over noncommutative orbifolds	6
Odd characteristic classes in entire cyclic homology and equivariant loop space homology	6
An equivariant Poincaré duality for proper cocompact actions by matrix groups	6
Cosimplicial monoids and deformation theory of tensor categories	6
Geometric K-homology and the Freed–Hopkins–Teleman theorem	5
Polynomial log-volume growth and the GK-dimensions of twisted homogeneous coordinate rings	4
Symmetrized non-commutative tori revisited	4
Deformations of modified $r$-matrices and cohomologies of related algebraic structures	4
A short proof of an index theorem, II	3
Chern classes of quantizable coisotropic bundles	3
A cocyclic construction of $S^1$-equivariant homology and application to string topology	3
Ideals of étale groupoid algebras and Exel’s Effros–Hahn conjecture	3
Leibniz bialgebras, relative Rota–Baxter operators, and the classical Leibniz Yang–Baxter equation	3
Spectral triples for noncommutative solenoids and a Wiener’s lemma	3
Nonnoetherian singularities and their noncommutative blowups	3
Non-commutative ambits and equivariant compactifications	3
Exel–Pardo algebras with a twist	3
Explicit Rieffel induction module for quantum groups	3
Homomorphisms into simple $\mathcal{Z}$-stable $C^*$-algebras, II	3
Twisted tensor products of field algebras	2
Relative Poisson bialgebras and Frobenius Jacobi algebras	2
On a definition of logarithm of quaternionic functions	2
Irreducible representations of the crystallization of the quantized function algebras $C(\operatorname{SU}_{q}(n+1))$	2

The Artin component and simultaneous resolution via reconstruction algebras of type $A$	2
Finite GK-dimensional pre-Nichols algebras of (super)modular and unidentified type	2
Hopf–Galois structures on ambiskew polynomial rings	2
A cogroupoid associated to preregular forms	2
Calabi–Yau structures for multiplicative preprojective algebras	2
On some (co)homological invariants of coherent matrix factorizations	2
On singular foliations tangent to a given hypersurface	2
The strong homotopy structure of Poisson reduction	2
Structure and $K$-theory of $\ell^p$ uniform Roe algebras	2
A short proof of the localization formula for the loop space Chern character of spin manifolds	2
Distortion in graphs of groups and rapid decay classification of $3$-manifold groups	2
On isometries of spectral triples associated to $\mathrm{AF}$-algebras and crossed products	2
Mixed $q$-deformed Araki–Woods von Neumann algebras	2
Aspects of noncommutative geometry of Bunce–Deddens algebras	2
Quantum geometry of Boolean algebras and de Morgan duality	2
Nowhere scattered $C^*$-algebras	2
Quantum Euclidean spaces with noncommutative derivatives	2
A remark on the Hochschild dimension of liberated quantum groups	2
Generalizing Pauli spin matrices using cubic lattices	2
Perturbations of principal submodules in the Drury–Arveson space	2
Covering-monopole map and higher degree in non-commutative geometry	2
Pontrjagin duality on multiplicative gerbes	2
Hochschild homology of reductive $p$-adic groups	2
Serre’s theorem for coherent sheaves via Auslander’s techniques	2
The coarse geometric $\ell^p$-Novikov conjecture for subspaces of nonpositively curved manifolds	1
On the braided Connes–Moscovici construction	1
Koszul duality for compactly generated derived categories of second kind	1
Lie structure on the Hochschild cohomology of a family of subalgebras of the Weyl algebra	1
Automorphisms of quantum polynomial rings and Drinfeld Hecke algebras	1
Post-Hopf algebras, relative Rota–Baxter operators and solutions to the Yang–Baxter equation	1
Multiparameter quantum groups at roots of unity	1
Quasi-homogeneity of potentials	1
$G$-homotopy invariance of the analytic signature of proper co-compact $G$-manifolds and equivariant Novikov conjecture	1
Symmetry Reduction of States I	1
A proof of a conjecture of Shklyarov	1
Poisson–Lie group structures on semidirect products	1
(Quantum) discreteness, spectrum compactness and uniform continuity	1
Measurability, spectral densities, and hypertraces in noncommutative geometry	1
Ideal structure and pure infiniteness of inverse semigroup crossed products	1
Enlargeable foliations and the monodromy groupoid	1
Quantum $\mathrm{SU}(3)$ as the $C^{*}$-algebra of a $2$-graph	1
Equivalences of (co)module algebra structures over Hopf algebras	1
The relative Mishchenko–Fomenko higher index and almost flat bundles II: Almost flat index pairing	1
Deformation of algebras associated with group cocycles	1
The centrally extended Heisenberg double of quantum $\mathrm{SL}_{2}$	1
Non-embeddable II$_1$ factors resembling the hyperfinite II$_1$ factor	1
The points and localisations of the topos of $M$-sets	1
The Arens-Michael envelopes of the Jordan plane and $U_q(\mathfrak{sl}(2))$	1
Discrete quantum structures II: Examples	1
Universal deformation formula, formality and actions	1

Invariants and automorphisms for slice regular functions	1
On the growth of Fourier multipliers	1
On the Hochschild homology of proper Lie groupoids	1
Zappa–Szép products for partial actions of groupoids on left cancellative small categories	1
Smooth Calabi–Yau structures and the noncommutative Legendre transform	1
A categorical characterization of quantum projective spaces	1
HPD-invariance of the Tate conjecture(s)	1
Polarization and deformations of generalized dendriform algebras	1
On the $C^{*}$-algebra associated with the full adele ring of a number field	1
Strict quantization of coadjoint orbits	1
An analog of the Krein–Milman theorem for certain non-compact convex sets	1
Subproduct systems with quantum group symmetry	1