Keywords: primary; 42C15; 58B34; secondary; 46L08; 22D25; Gabor frames; Noncommutative tori; Gauge connections;
مقالات ISI (ترجمه نشده)
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Keywords: 16S38; 16S36; 58B34; 16E45;
Keywords: primary; 46L87; secondary; 58B34; 81R05; 81R15; C*-metric space; Quantum Gromov-Hausdorff distance; Vector bundles; Projective modules; Sphere; Matrix algebras;
Keywords: 16D90; 58B34; 57R18Morita equivalence; Spectral triple; Orbifold
Keywords: 58B34; 58B32; 46L87Noncommutative geometry; Spectral triple; Dimension; Quantum group; Homogeneous space
Keywords: 12K10; 58B34; 11S40; 14M25Riemann zeta; Hasse–Weil; Site; Arithmetic; Semiring; Characteristic one; Topos
Keywords: 58B32; 58B34; Quantum weighted projective space; Quantum teardrop; Principal comodule algebra;
Keywords: primary; 58B34; secondary; 46L55; 46L65; 46L8; 81R60; Noncommutative geometry; Spectral triple; Strict deformation quantisation; Connes-Landi deformation; Isospectral deformation; Toric noncommutative manifold;
Keywords: 46L89; 46L30; 58B34; Noncommutative metric geometry; Gromov-Hausdorff distance; Monge-Kantorovich distance; Quantum metric spaces;
Keywords: 53A35; 51H05 58CO5; F10; 58B34; Chaotic space time; Foldings; Fractal;
Keywords: 47B10; 58B34; 58J42; 47G10Noncommutative residue; Connes’ trace theorem; Lidskii theorem; Noncommutative geometry; Spectral theory; Singular trace
Keywords: 47B10; 47G30; 58B34; 58J42Dixmier traces; Extended limits; Measurable operators; Wodzicki residue; Pseudo-differential operators; Connes’ trace theorem
Lie groupoids, exact sequences, Connes-Thom elements, connecting maps and index maps
Keywords: primary; 58H05; 19K56; secondary; 58B34; 22A22; 46L80; 19K35; 47L80; Operator algebras; Lie groupoids; Operator K-theory;
Analyticity and spectral properties of noncommutative Ricci flow in a matrix geometry
Keywords: primary; 58B34; secondary; 47A55; 35K55; Ricci flow; Noncommutative geometry; Matrix geometry; Spectrum of the Laplacian;
Factorization of Dirac operators on toric noncommutative manifolds
Keywords: 58B34; 19K35; 53C27; Toric noncommutative manifolds; Dirac operators; Unbounded KK-theory;
Type III representations and modular spectral triples for the noncommutative torus
Keywords: 58B34; 46L36; 22D25; 46L10; 46L65; 46L30; 46L87; 37E10; 43A35; 81R60; Noncommutative geometry; Modular spectral triples; Type III representations; One dimensional topology;
Noncommutative geometry and the BV formalism: Application to a matrix model
Keywords: 58B34; Noncommutative geometry; Batalin-Vilkovisky formalism; Gauge theory;
Cyclic cohomology and Chern-Connes pairing of some crossed product algebras
Keywords: 58B34; 18G60; Cohomology; Non-commutative torus; Chern-Connes pairing;
On weakly DD-differentiable operators
Keywords: 37A55; 46L55; 47D06; 58B34; 81S05Differentiability; Operator; Generator; Commutator; Boundedness
Hochschild and cyclic homology of the crossed product of algebraic irrational rotational algebra by finite subgroups of SL(2,Z)SL(2,Z)
Keywords: 58B34; 19D55Hochschild homology; Cyclic homology; Non-commutative torus; Crossed product algebra
L2L2 norm preserving flow in matrix geometry
Keywords: 58B34; 15A57Global flow; Norm conservation; Entropy stability; Operator convexity
Batalin–Vilkovisky algebra structures on (Co)Tor(Co)Tor and Poisson bialgebroids
Keywords: 16T05; 16E40; 16T15; 19D55; 58B34
Banach limits and traces on L1,â
Keywords: 47B10; 47G30; 58B34; 58J42; Singular traces; Banach limits; Lidskii formula; Connes' trace theorem;
Getzler symbol calculus and deformation quantization
Keywords: 53D55; 58B34; 58J20Deformation quantization; Atiyah–Singer index theorem; Pseudodifferential calculus
Real spectral triples over noncommutative Bieberbach manifolds
Keywords: 58B34; 46L87Noncommutative geometry; Spectral triple; Dirac operator
8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory
Keywords: 58B34; 81T75; 81T13Noncommutative differential geometry; Spectral action; Yang–Mills and other gauge theories
Higher nonunital Quillen Kâ²-theory, KK-dualities and applications to topological T-dualities
Keywords: 19Dxx; 46L85; 58B34; 57R56; Câ-algebra; (Bivariant) K-theory; Differential graded category; T-duality;
A noncommutative view on topology and order
Keywords: 58B34; 54F05; 46L85; 46L89Noncommutative topology; Causal sets; Noncommutative ordered spaces
Differential forms and the noncommutative residue
Keywords: 53A30; 35S05; 58B34; 46L87; Conformal geometry; Noncommutative residue; Fredholm module;
Zeta functions that hear the shape of a Riemann surface
Keywords: 20H10; 57S30; 58B34
Coverings, correspondences, and noncommutative geometry
Keywords: 58B34; 57M12; 57C20; 82A15; 3-manifolds; Branched coverings; Correspondences; Cobordisms; Time evolution;
Twisted cyclic homology of all Podleś quantum spheres
Keywords: 58B34; 19D55; 81R50; 46LCyclic homology, Hochschild homology, Quantum group, Quantum sphere
Canonical quantization and the spectral action; a nice example
Keywords: 58B34; 81R60; 81S10Noncommutative geometry; Spectral triples; Quantization
On noncommutative and pseudo-Riemannian geometry
Keywords: 58B34; 58B99; 46C20; 53C50Noncommutative geometry; Lorentzian geometryPseudo-Riemannian; Noncommutative tori; Noncommutative geometry
Inner fluctuations of the spectral action
Keywords: 58B34; 81T13Noncommutative geometry; Spectral action; Yang–Mills; Chern–Simons
Geometry of quantum spheres
Keywords: 81R60; 81R50; 20G42; 58B34; 58B32; 17B37Noncommutative geometry; Spectral triples; Quantum groups; Quantum spheres
Approximation of quantum tori by finite quantum tori for the quantum Gromov-Hausdorff distance
Keywords: 46L87 (primary); 53C23; 58B34; Quantum Gromov-Hausdorff distance; Quantum tous; Noncommutative metric geometry;