Journal of Noncommutative Geometry

Papers
(The median citation count of Journal of Noncommutative Geometry is 0. 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 2021-09-01 to 2025-09-01.)
ArticleCitations
A groupoid approach to the Wodzicki residue and the Kontsevich–Vishik trace18
Odd characteristic classes in entire cyclic homology and equivariant loop space homology8
Cosimplicial monoids and deformation theory of tensor categories7
An equivariant Poincaré duality for proper cocompact actions by matrix groups6
Polynomial log-volume growth and the GK-dimensions of twisted homogeneous coordinate rings6
Tracing projective modules over noncommutative orbifolds6
Deformation spaces, rescaled bundles, and the generalized Kirillov formula6
Geometric K-homology and the Freed–Hopkins–Teleman theorem5
Chern classes of quantizable coisotropic bundles5
Deformations of modified $r$-matrices and cohomologies of related algebraic structures5
Symmetrized non-commutative tori revisited5
A short proof of an index theorem, II5
Explicit Rieffel induction module for quantum groups5
Exel–Pardo algebras with a twist5
Spectral triples for noncommutative solenoids and a Wiener’s lemma5
Ideals of étale groupoid algebras and Exel’s Effros–Hahn conjecture4
Nonnoetherian singularities and their noncommutative blowups4
Non-commutative ambits and equivariant compactifications4
Perturbations of principal submodules in the Drury–Arveson space4
Leibniz bialgebras, relative Rota–Baxter operators, and the classical Leibniz Yang–Baxter equation4
A cocyclic construction of $S^1$-equivariant homology and application to string topology4
Homomorphisms into simple $\mathcal{Z}$-stable $C^*$-algebras, II4
On singular foliations tangent to a given hypersurface3
Serre’s theorem for coherent sheaves via Auslander’s techniques3
Generalizing Pauli spin matrices using cubic lattices3
A short proof of the localization formula for the loop space Chern character of spin manifolds3
Distortion in graphs of groups and rapid decay classification of $3$-manifold groups3
On isometries of spectral triples associated to $\mathrm{AF}$-algebras and crossed products3
The strong homotopy structure of Poisson reduction3
Hochschild homology of reductive $p$-adic groups3
Controlled $K$-theory and $K$-homology3
Hopf–Galois structures on ambiskew polynomial rings3
On a definition of logarithm of quaternionic functions3
The Artin component and simultaneous resolution via reconstruction algebras of type $A$3
Covering-monopole map and higher degree in non-commutative geometry3
From length-preserving pushouts of graphs to one-surjective pullbacks of graph algebras3
Mixed $q$-deformed Araki–Woods von Neumann algebras3
Relative Poisson bialgebras and Frobenius Jacobi algebras3
On some (co)homological invariants of coherent matrix factorizations3
Structure and $K$-theory of $\ell^p$ uniform Roe algebras3
A remark on the Hochschild dimension of liberated quantum groups3
Irreducible representations of the crystallization of the quantized function algebras $C(\operatorname{SU}_{q}(n+1))$3
Finite GK-dimensional pre-Nichols algebras of (super)modular and unidentified type3
Quantum geometry of Boolean algebras and de Morgan duality3
Pontrjagin duality on multiplicative gerbes3
A cogroupoid associated to preregular forms2
HPD-invariance of the Tate conjecture(s)2
On the Hochschild homology of proper Lie groupoids2
The Arens-Michael envelopes of the Jordan plane and $U_q(\mathfrak{sl}(2))$2
A proof of a conjecture of Shklyarov2
On the $C^{*}$-algebra associated with the full adele ring of a number field2
Calabi–Yau structures for multiplicative preprojective algebras2
Quantum Euclidean spaces with noncommutative derivatives2
Symmetry Reduction of States I2
A categorical characterization of quantum projective spaces2
Non-embeddable II$_1$ factors resembling the hyperfinite II$_1$ factor2
Enlargeable foliations and the monodromy groupoid2
Multiparameter quantum groups at roots of unity2
Polarization and deformations of generalized dendriform algebras2
The centrally extended Heisenberg double of quantum $\mathrm{SL}_{2}$2
Twisted tensor products of field algebras2
Quasi-homogeneity of potentials2
Deformation of algebras associated with group cocycles2
The relative Mishchenko–Fomenko higher index and almost flat bundles II: Almost flat index pairing2
The points and localisations of the topos of $M$-sets2
Smooth Calabi–Yau structures and the noncommutative Legendre transform2
$G$-homotopy invariance of the analytic signature of proper co-compact $G$-manifolds and equivariant Novikov conjecture2
Aspects of noncommutative geometry of Bunce–Deddens algebras2
Nowhere scattered $C^*$-algebras2
Ideal structure and pure infiniteness of inverse semigroup crossed products1
Quantum inverse semigroups1
Subproduct systems with quantum group symmetry1
Haefliger’s differentiable cohomology1
Koszul duality for compactly generated derived categories of second kind1
On the braided Connes–Moscovici construction1
Twisted Hodge diamonds give rise to non-Fourier–Mukai functors1
Equivalences of (co)module algebra structures over Hopf algebras1
Quantizations of local surfaces and rebel instantons1
Finite approximation properties of $C^{*}$-modules II1
Discrete quantum structures II: Examples1
Morita equivalence of two $\ell^p$ Roe-type algebras1
The coarse geometric $\ell^p$-Novikov conjecture for subspaces of nonpositively curved manifolds1
(Quantum) discreteness, spectrum compactness and uniform continuity1
Invariants and automorphisms for slice regular functions1
Homotopy Rota–Baxter operators and post-Lie algebras1
Strict quantization of coadjoint orbits1
Post-Hopf algebras, relative Rota–Baxter operators and solutions to the Yang–Baxter equation1
Expanders are counterexamples to the $\ell^p$ coarse Baum–Connes conjecture1
Non-commutative disintegrations: Existence and uniqueness in finite dimensions1
An equivariant pullback structure of trimmable graph $C^*$-algebras1
H-unitality of smooth groupoid algebras1
Poisson–Lie group structures on semidirect products1
Automorphisms of quantum polynomial rings and Drinfeld Hecke algebras1
Universal deformation formula, formality and actions1
An analog of the Krein–Milman theorem for certain non-compact convex sets1
Zappa–Szép products for partial actions of groupoids on left cancellative small categories1
Quantum $\mathrm{SU}(3)$ as the $C^{*}$-algebra of a $2$-graph1
On the realization of a class of $\text{SL}(2,\mathbb{Z})$ representations1
Lie structure on the Hochschild cohomology of a family of subalgebras of the Weyl algebra1
Projective representation theory for compact quantum groups and the quantum Baum–Connes assembly map1
On the growth of Fourier multipliers1
Symmetries of simple $A\mathbb{T}$-algebras1
Measurability, spectral densities, and hypertraces in noncommutative geometry1
Iterated Hopf Ore extensions in positive characteristic1
The Novikov conjecture and extensions of coarsely embeddable groups0
Pseudodifferential operators on filtered manifolds as generalized fixed points0
Coarse quotients of metric spaces and embeddings of uniform Roe algebras0
Quantum automorphism groups of trees0
Deformation and $K$-theoretic index formulae on boundary groupoids0
Simplicity of twisted C*-algebras of Deaconu–Renault groupoids0
Rapid decay and polynomial growth for bicrossed products0
Weakly parametric pseudodifferential calculus for twisted $C^{*}$-dynamical systems0
Anick type automorphisms and new irreducible representations of Leavitt path algebras0
Immersions and the unbounded Kasparov product: embedding spheres into Euclidean space0
On localized signature and higher rho invariant of fibered manifolds0
Noncommutative Hodge conjecture0
$C^{\ast}$-algebraic approach to the principal symbol. III0
Orbifold semiorthogonal decompositions for Abelian varieties0
The structure of KMS weights on étale groupoid C*-algebras0
Quadratic algebras associated with exterior 3-forms0
Self-similar quantum groups0
Principal pairs of quantum homogeneous spaces0
Quantum symmetries of vertex-transitive graphs on 12 vertices0
The Euler characteristic of a transitive Lie algebroid0
Atiyah sequences and connections on principal bundles over Lie groupoids and differentiable stacks0
Computing the spectral action for fuzzy geometries: from random noncommutative geometry to bi-tracial multimatrix models0
Dirac operator associated to a quantum metric0
Homology of complexes over finite tensor categories0
Noncommutative CW-spectra as enriched presheaves on matrix algebras0
Generators in $\mathcal{Z}$-stable $C^*$-algebras of real rank zero0
The equivariant coarse Baum–Connes conjecture for metric spaces with proper group actions0
Atiyah sequences of braided Lie algebras and their splittings0
The inverse function theorem for curved $L$-infinity spaces0
Invariant Markov semigroups on quantum homogeneous spaces0
Induced map on $K$-theory for certain $\Gamma$-equivariant maps between Hilbert spaces0
Connes' integration and Weyl's laws0
Covariant derivatives of eigenfunctions along parallel tensors over space forms and a conjecture motivated by the vertex algebraic structure0
Equivariant bundles and absorption0
A geometric characterization of $\mathbb{N}$-graded manifolds and the Frobenius theorem0
Slice regular functions and orthogonal complex structures over $\mathbb{R}^8$0
On the noncommutative Poisson geometry of certain wild character varieties0
The Radul cocycle, the Chern–Connes character, and manifolds with conical singularities0
Polyvector fields and polydifferential operators associated with Lie pairs0
Tracial states on groupoid $C^{*}$-algebras and essential freeness0
Higher Kazhdan projections, $\ell_2$-Betti numbers and Baum–Connes conjectures0
Spectral metric and Einstein functionals for the Hodge–Dirac operator0
Approximate equivalence of representations of AH algebras into semifinite von Neumann factors0
On anchored Lie algebras and the Connes–Moscovici bialgebroid construction0
On amenable and coamenable coideals0
Polynomial growth and property $\mathrm{RD}_{p}$ for étale groupoids with applications to $K$-theory0
Index theorem for homogeneous spaces of Lie groups0
Universal filtered quantizations of nilpotent Slodowy slices0
The 3-cyclic quantum Weyl algebras, their prime spectra and a classification of simple modules ($q$ is not a root of unity)0
Quantum van Est isomorphism0
Strongly quasi-local algebras and their $K$-theories0
Unitary Harish-Chandra representations of real supergroups0
$C^{\ast}$-exponential rank of unital simple classifiable $C^{\ast}$-algebras0
On the homotopy groups of the automorphism groups of Cuntz–Krieger algebras0
The unbounded Kasparov product by a differentiable module0
Callias-type operators associated to spectral triples0
Cyclic Gerstenhaber–Schack cohomology0
A noncommutative extension of Mahler’s interpolation theorem0
Spectral triples with multitwisted real structure0
Almost complex structure on finite points from bidirected graphs0
Homology and $K$-theory of dynamical systems II. Smale spaces with totally disconnected transversal0
Lifting theorems for completely positive maps0
Compact quantum group structures on type-I $\mathrm{C}^*$-algebras0
Representation of commutators on Schatten $p$-classes0
Ring-theoretic blowing down II: Birational transformations0
Iteration theory of noncommutative maps0
Hopf-cyclic coefficients in the braided setting0
Kernels for noncommutative projective schemes0
A variant of Roe algebras for spaces with cylindrical ends with applications in relative higher index theory0
Ample groupoid homology and étale correspondences0
Lorentzian fermionic action by twisting Euclidean spectral triples0
Finitely summable $\gamma$-elements for word-hyperbolic groups0
On the lifting property for $C^*$-algebras0
Wheel graph homology classes via Lie graph homology0
Sobolev algebras on Lie groups and noncommutative geometry0
The adiabatic groupoid and the Higson–Roe exact sequence0
Connected sum for modular operads and Beilinson–Drinfeld algebras0
$L^p$ coarse Baum–Connes conjecture and $K$-theory for $L^p$ Roe algebras0
The category $\Theta_{2}$, derived modifications, and deformation theory of monoidal categories0
Derived equivalences constructed by Milnor patching0
Conormal homology of manifolds with corners0
Torsors in super-symmetry0
Fell’s absorption principle for semigroup operator algebras0
Purely infinite corona algebras and extensions0
Secondary higher invariants and cyclic cohomology for groups of polynomial growth0
Categorical resolutions of filtered schemes0
Geometric similarity invariants of Cowen-Douglas operators0
On conjugacy and perturbation of subalgebras0
Operator norm localization property for equi-approximable families of projections0
Poisson cohomology, Koszul duality, and Batalin–Vilkovisky algebras0
Von Neumann entropy of the angle operator between a pair of intermediate subalgebras0
Quadratic Lie conformal superalgebras related to Novikov superalgebras0
Algebraic aspects of connections: From torsion, curvature, and post-Lie algebras to Gavrilov's double exponential and special polynomials0
A quantitative relative index theorem and Gromov’s conjectures on positive scalar curvature (with an appendix by Jinmin Wang and Zhizhang Xie)0
Yetter–Drinfeld post-Hopf algebras and Yetter–Drinfeld relative Rota–Baxter operators0
A homological approach to the Gaussian unitary ensemble0
Hochschild and cyclic (co)homology of the Fomin–Kirillov algebra on $3$ generators0
Vanishing first cohomology and strong 1-boundedness for von Neumann algebras0
Nonarchimedean bivariant $K$-theory0
Noncommutative scheme theory and the Serre–Artin–Zhang–Verevkin theorem for semi-graded rings0
A detailed look on actions on Hochschild complexes especially the degree 1 coproduct and actions on loop spaces0
Measured quantum groupoids on a finite basis and equivariant Kasparov theory0
Cyclic cocycles in the spectral action0
Quotients of singular foliations and Lie 2-group actions0
Discrete quantum structures I: Quantum predicate logic0
Compact convergence, deformation of the $L^{2}$-$\overline{\partial}$-complex and canonical $K$-homology classes0
Fundamentals of Lie categories0
$C^*$ exponential length of commutators unitaries in AH-algebras0
Self-adjoint local boundary problems on compact surfaces. II. Family index0
On the classification of simple amenable $\mathrm{C}^{*}$-algebras with finite decomposition rank, II0
Doob equivalence and non-commutative peaking for Markov chains0
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