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 2021-06-01 to 2025-06-01.)
ArticleCitations
A groupoid approach to the Wodzicki residue and the Kontsevich–Vishik trace17
Odd characteristic classes in entire cyclic homology and equivariant loop space homology8
Tracing projective modules over noncommutative orbifolds6
Cosimplicial monoids and deformation theory of tensor categories6
An equivariant Poincaré duality for proper cocompact actions by matrix groups6
Deformation spaces, rescaled bundles, and the generalized Kirillov formula6
Geometric K-homology and the Freed–Hopkins–Teleman theorem5
Deformations of modified $r$-matrices and cohomologies of related algebraic structures4
A short proof of an index theorem, II4
Symmetrized non-commutative tori revisited4
Leibniz bialgebras, relative Rota–Baxter operators, and the classical Leibniz Yang–Baxter equation4
Exel–Pardo algebras with a twist4
Polynomial log-volume growth and the GK-dimensions of twisted homogeneous coordinate rings4
Chern classes of quantizable coisotropic bundles4
Covering-monopole map and higher degree in non-commutative geometry3
Explicit Rieffel induction module for quantum groups3
Nonnoetherian singularities and their noncommutative blowups3
A short proof of the localization formula for the loop space Chern character of spin manifolds3
Irreducible representations of the crystallization of the quantized function algebras $C(\operatorname{SU}_{q}(n+1))$3
Spectral triples for noncommutative solenoids and a Wiener’s lemma3
Homomorphisms into simple $\mathcal{Z}$-stable $C^*$-algebras, II3
Perturbations of principal submodules in the Drury–Arveson space3
The Artin component and simultaneous resolution via reconstruction algebras of type $A$3
Ideals of étale groupoid algebras and Exel’s Effros–Hahn conjecture3
Non-commutative ambits and equivariant compactifications3
A cocyclic construction of $S^1$-equivariant homology and application to string topology3
On isometries of spectral triples associated to $\mathrm{AF}$-algebras and crossed products3
Structure and $K$-theory of $\ell^p$ uniform Roe algebras2
Mixed $q$-deformed Araki–Woods von Neumann algebras2
Pontrjagin duality on multiplicative gerbes2
Polarization and deformations of generalized dendriform algebras2
A cogroupoid associated to preregular forms2
Serre’s theorem for coherent sheaves via Auslander’s techniques2
Twisted tensor products of field algebras2
Hochschild homology of reductive $p$-adic groups2
On a definition of logarithm of quaternionic functions2
Generalizing Pauli spin matrices using cubic lattices2
The strong homotopy structure of Poisson reduction2
Quantum Euclidean spaces with noncommutative derivatives2
On the $C^{*}$-algebra associated with the full adele ring of a number field2
$G$-homotopy invariance of the analytic signature of proper co-compact $G$-manifolds and equivariant Novikov conjecture2
Calabi–Yau structures for multiplicative preprojective algebras2
On some (co)homological invariants of coherent matrix factorizations2
On singular foliations tangent to a given hypersurface2
Finite GK-dimensional pre-Nichols algebras of (super)modular and unidentified type2
A remark on the Hochschild dimension of liberated quantum groups2
Distortion in graphs of groups and rapid decay classification of $3$-manifold groups2
Nowhere scattered $C^*$-algebras2
Multiparameter quantum groups at roots of unity2
The centrally extended Heisenberg double of quantum $\mathrm{SL}_{2}$2
Aspects of noncommutative geometry of Bunce–Deddens algebras2
Quantum geometry of Boolean algebras and de Morgan duality2
Relative Poisson bialgebras and Frobenius Jacobi algebras2
Hopf–Galois structures on ambiskew polynomial rings2
Enlargeable foliations and the monodromy groupoid1
HPD-invariance of the Tate conjecture(s)1
Strict quantization of coadjoint orbits1
On the growth of Fourier multipliers1
Iterated Hopf Ore extensions in positive characteristic1
Measurability, spectral densities, and hypertraces in noncommutative geometry1
Subproduct systems with quantum group symmetry1
The coarse geometric $\ell^p$-Novikov conjecture for subspaces of nonpositively curved manifolds1
Automorphisms of quantum polynomial rings and Drinfeld Hecke algebras1
Post-Hopf algebras, relative Rota–Baxter operators and solutions to the Yang–Baxter equation1
A proof of a conjecture of Shklyarov1
The points and localisations of the topos of $M$-sets1
Equivalences of (co)module algebra structures over Hopf algebras1
Symmetry Reduction of States I1
Zappa–Szép products for partial actions of groupoids on left cancellative small categories1
On the braided Connes–Moscovici construction1
Discrete quantum structures II: Examples1
Non-commutative disintegrations: Existence and uniqueness in finite dimensions1
Poisson–Lie group structures on semidirect products1
(Quantum) discreteness, spectrum compactness and uniform continuity1
Invariants and automorphisms for slice regular functions1
On the Hochschild homology of proper Lie groupoids1
The relative Mishchenko–Fomenko higher index and almost flat bundles II: Almost flat index pairing1
The Arens-Michael envelopes of the Jordan plane and $U_q(\mathfrak{sl}(2))$1
Smooth Calabi–Yau structures and the noncommutative Legendre transform1
Deformation of algebras associated with group cocycles1
Lie structure on the Hochschild cohomology of a family of subalgebras of the Weyl algebra1
Ideal structure and pure infiniteness of inverse semigroup crossed products1
Quantum inverse semigroups1
An analog of the Krein–Milman theorem for certain non-compact convex sets1
Haefliger’s differentiable cohomology1
Universal deformation formula, formality and actions1
Koszul duality for compactly generated derived categories of second kind1
Quasi-homogeneity of potentials1
Quantum $\mathrm{SU}(3)$ as the $C^{*}$-algebra of a $2$-graph1
Non-embeddable II$_1$ factors resembling the hyperfinite II$_1$ factor1
A categorical characterization of quantum projective spaces1
Deformation and $K$-theoretic index formulae on boundary groupoids0
Rapid decay and polynomial growth for bicrossed products0
Weakly parametric pseudodifferential calculus for twisted $C^{*}$-dynamical systems0
Strongly quasi-local algebras and their $K$-theories0
Sobolev algebras on Lie groups and noncommutative geometry0
Covariant derivatives of eigenfunctions along parallel tensors over space forms and a conjecture motivated by the vertex algebraic structure0
On the homotopy groups of the automorphism groups of Cuntz–Krieger algebras0
Derived equivalences constructed by Milnor patching0
On the classification of simple amenable $\mathrm{C}^{*}$-algebras with finite decomposition rank, II0
Quantizations of local surfaces and rebel instantons0
Geometric similarity invariants of Cowen-Douglas operators0
Noncommutative Hodge conjecture0
On the realization of a class of $\text{SL}(2,\mathbb{Z})$ representations0
A quantitative relative index theorem and Gromov’s conjectures on positive scalar curvature (with an appendix by Jinmin Wang and Zhizhang Xie)0
The 3-cyclic quantum Weyl algebras, their prime spectra and a classification of simple modules ($q$ is not a root of unity)0
$C^{\ast}$-exponential rank of unital simple classifiable $C^{\ast}$-algebras0
Coarse quotients of metric spaces and embeddings of uniform Roe algebras0
Callias-type operators associated to spectral triples0
Unitary Harish-Chandra representations of real supergroups0
Von Neumann entropy of the angle operator between a pair of intermediate subalgebras0
Homotopy Rota–Baxter operators and post-Lie algebras0
Atiyah sequences of braided Lie algebras and their splittings0
The Euler characteristic of a transitive Lie algebroid0
Anick type automorphisms and new irreducible representations of Leavitt path algebras0
Discrete quantum structures I: Quantum predicate logic0
Self-similar quantum groups0
Dirac operator associated to a quantum metric0
The equivariant coarse Baum–Connes conjecture for metric spaces with proper group actions0
Quasifolds, diffeology and noncommutative geometry0
Lorentzian fermionic action by twisting Euclidean spectral triples0
Immersions and the unbounded Kasparov product: embedding spheres into Euclidean space0
Pseudodifferential operators on filtered manifolds as generalized fixed points0
Orbifold semiorthogonal decompositions for Abelian varieties0
Generators in $\mathcal{Z}$-stable $C^*$-algebras of real rank zero0
A variant of Roe algebras for spaces with cylindrical ends with applications in relative higher index theory0
Connected sum for modular operads and Beilinson–Drinfeld algebras0
$C^*$ exponential length of commutators unitaries in AH-algebras0
Simplicity of twisted C*-algebras of Deaconu–Renault groupoids0
The category $\Theta_{2}$, derived modifications, and deformation theory of monoidal categories0
Conormal homology of manifolds with corners0
Finite approximation properties of $C^{*}$-modules II0
Invariant Markov semigroups on quantum homogeneous spaces0
Ring-theoretic blowing down II: Birational transformations0
Universal filtered quantizations of nilpotent Slodowy slices0
Quadratic algebras associated with exterior 3-forms0
Fell’s absorption principle for semigroup operator algebras0
Kernels for noncommutative projective schemes0
Lifting theorems for completely positive maps0
On localized signature and higher rho invariant of fibered manifolds0
Purely infinite corona algebras and extensions0
Expanders are counterexamples to the $\ell^p$ coarse Baum–Connes conjecture0
The Novikov conjecture and extensions of coarsely embeddable groups0
Polynomial growth and property $\mathrm{RD}_{p}$ for étale groupoids with applications to $K$-theory0
Twisted Hodge diamonds give rise to non-Fourier–Mukai functors0
Spectral triples with multitwisted real structure0
Algebraic aspects of connections: From torsion, curvature, and post-Lie algebras to Gavrilov's double exponential and special polynomials0
Compact convergence, deformation of the $L^{2}$-$\overline{\partial}$-complex and canonical $K$-homology classes0
Symmetries of simple $A\mathbb{T}$-algebras0
Quantum van Est isomorphism0
The unbounded Kasparov product by a differentiable module0
Representation of commutators on Schatten $p$-classes0
Categorical resolutions of filtered schemes0
A detailed look on actions on Hochschild complexes especially the degree 1 coproduct and actions on loop spaces0
Doob equivalence and non-commutative peaking for Markov chains0
Torsors in super-symmetry0
Self-adjoint local boundary problems on compact surfaces. II. Family index0
Compact quantum group structures on type-I $\mathrm{C}^*$-algebras0
A homological approach to the Gaussian unitary ensemble0
Quotients of singular foliations and Lie 2-group actions0
Slice regular functions and orthogonal complex structures over $\mathbb{R}^8$0
Almost complex structure on finite points from bidirected graphs0
Secondary higher invariants and cyclic cohomology for groups of polynomial growth0
Wheel graph homology classes via Lie graph homology0
Computing the spectral action for fuzzy geometries: from random noncommutative geometry to bi-tracial multimatrix models0
Nonarchimedean bivariant $K$-theory0
$L^p$ coarse Baum–Connes conjecture and $K$-theory for $L^p$ Roe algebras0
The adiabatic groupoid and the Higson–Roe exact sequence0
Fundamentals of Lie categories0
H-unitality of smooth groupoid algebras0
The inverse function theorem for curved $L$-infinity spaces0
On the noncommutative Poisson geometry of certain wild character varieties0
Hopf-cyclic coefficients in the braided setting0
Homology of complexes over finite tensor categories0
On amenable and coamenable coideals0
$C^{\ast}$-algebraic approach to the principal symbol. III0
Operator norm localization property for equi-approximable families of projections0
Quantum symmetries of vertex-transitive graphs on 12 vertices0
Tracial states on groupoid $C^{*}$-algebras and essential freeness0
Morita equivalence of two $\ell^p$ Roe-type algebras0
Quadratic Lie conformal superalgebras related to Novikov superalgebras0
Quantum automorphism groups of trees0
Homology and $K$-theory of dynamical systems II. Smale spaces with totally disconnected transversal0
Projective representation theory for compact quantum groups and the quantum Baum–Connes assembly map0
Spectral metric and Einstein functionals for the Hodge–Dirac operator0
The structure of KMS weights on étale groupoid C*-algebras0
Higher Kazhdan projections, $\ell_2$-Betti numbers and Baum–Connes conjectures0
Atiyah sequences and connections on principal bundles over Lie groupoids and differentiable stacks0
Cyclic Gerstenhaber–Schack cohomology0
The Radul cocycle, the Chern–Connes character, and manifolds with conical singularities0
On the lifting property for $C^*$-algebras0
Approximate equivalence of representations of AH algebras into semifinite von Neumann factors0
Finitely summable $\gamma$-elements for word-hyperbolic groups0
On anchored Lie algebras and the Connes–Moscovici bialgebroid construction0
Iteration theory of noncommutative maps0
Poisson cohomology, Koszul duality, and Batalin–Vilkovisky algebras0
A noncommutative extension of Mahler’s interpolation theorem0
Index theorem for homogeneous spaces of Lie groups0
Connes' integration and Weyl's laws0
Noncommutative CW-spectra as enriched presheaves on matrix algebras0
Induced map on $K$-theory for certain $\Gamma$-equivariant maps between Hilbert spaces0
Ample groupoid homology and étale correspondences0
Vanishing first cohomology and strong 1-boundedness for von Neumann algebras0
Cyclic cocycles in the spectral action0
Noncommutative scheme theory and the Serre–Artin–Zhang–Verevkin theorem for semi-graded rings0
Measured quantum groupoids on a finite basis and equivariant Kasparov theory0
Polyvector fields and polydifferential operators associated with Lie pairs0
Yetter–Drinfeld post-Hopf algebras and Yetter–Drinfeld relative Rota–Baxter operators0
A geometric characterization of $\mathbb{N}$-graded manifolds and the Frobenius theorem0
Hochschild and cyclic (co)homology of the Fomin–Kirillov algebra on $3$ generators0
An equivariant pullback structure of trimmable graph $C^*$-algebras0
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