scientific article; zbMATH DE number 671685

Publication date: 26 October 1994

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Free probability and free operator algebras (46L54) (K)-theory and operator algebras (including cyclic theory) (46L80) Index theory and related fixed-point theorems on manifolds (58J20) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Exotic index theories on manifolds (58J22) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Research exposition (monographs, survey articles) pertaining to global analysis (58-02)

Related Items (only showing first 100 items - show all)

Algebraic \(K\)-theory and locally convex algebras ⋮ The Dirac operator on \(\text{SU}_{q}(2)\) ⋮ Principal fibrations from noncommutative spheres ⋮ Noncommutative momentum and torsional regularization ⋮ Twisted bounded-dilation group \(C\)*-algebras as \(C\)*-metric algebras ⋮ On a composition of subfactors with group subfactors ⋮ Quantum gravity and Riemannian geometry on the fuzzy sphere ⋮ Index theory on the Miščenko bundle ⋮ Oscillatory modules ⋮ Equivalence relation groupoids associated with certain linearly ordered dimension groups ⋮ Bar categories and star operations ⋮ Fredholm modules on P.C.F. self-similar fractals and their conformal geometry ⋮ Generalization of some algebras in the bosonic string theory ⋮ On \(L_\infty\)-morphisms of cyclic chains ⋮ Analysis of fractals, image compression, entropy encoding, Karhunen-Loève transforms ⋮ Non commuting quantum cosmology with scalar matter ⋮ The \(*\)-value equation and Wigner distributions in noncommutative Heisenberg algebras ⋮ A pairing between super Lie-Rinehart and periodic cyclic homology. ⋮ General quantization ⋮ Glafka-2004: categorical quantum gravity ⋮ Constant and equivariant cyclic cohomology ⋮ Carnot-Carathéodory metric and gauge fluctuation in noncommutative geometry ⋮ Spaces of tilings, finite telescopic approximations and gap-labeling ⋮ Spectral triples of holonomy loops ⋮ Difference discrete connection and curvature on cubic lattice ⋮ Time flow in a noncommutative regime ⋮ Quantum logic and non-commutative geometry ⋮ Finitary topos for locally finite, causal and quantal vacuum Einstein gravity ⋮ Torus equivariant spectral triples for odd-dimensional quantum spheres coming from \(C^{*}\)-extensions ⋮ Amenability, tubularity, and embeddings into \(\mathcal{R}^{\omega}\) ⋮ Differential algebras with dense singularities on manifolds ⋮ Pseudodifferential extensions and adiabatic deformation of smooth groupoid actions ⋮ Möbius inversion formula for monoids with zero. ⋮ Uniformization and index of elliptic operators associated with diffeomorphisms of a manifold ⋮ The Higson-Mackey analogy for finite extensions of complex semisimple groups ⋮ Characteristic classes of foliations via SAYD-twisted cocycles ⋮ A quantum analogue of the first fundamental theorem of classical invariant theory ⋮ Noncommutative Yang-Mills-Higgs actions from derivation-based differential calculus ⋮ The index of hypoelliptic operators on foliated manifolds ⋮ Transverse Laplacians for substitution tilings ⋮ Tiling groupoids and Bratteli diagrams ⋮ Dirac field on Moyal-Minkowski spacetime and non-commutative potential scattering ⋮ Factorisations of distributive laws ⋮ Topological graph polynomials in colored group field theory ⋮ \(C^\ast\)-algebras of holonomy-diffeomorphisms \& quantum gravity. II ⋮ Noncommutative Hamiltonian dynamics on foliated manifolds ⋮ Generalized non-commutative degeneration conjecture ⋮ Twisted longitudinal index theorem for foliations and wrong way functoriality ⋮ Histories and observables in covariant field theory ⋮ The Holst action by the spectral action principle ⋮ Quantum geometry on quantum spacetime: Distance, area and volume operators ⋮ A dynamical zeta function for pseudo Riemannian foliations ⋮ Zeta functions that hear the shape of a Riemann surface ⋮ Homotopy approach to quantum gravity ⋮ \(q\)-fuzzy spheres and quantum differentials on \(B_q[\mathrm{SU}_2\) and \(U_q(\mathrm{su}_2)\)] ⋮ On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem ⋮ Quantum group of isometries in classical and noncommutative geometry ⋮ (Non)commutative isotropization in Bianchi I with barotropic perfect fluid and \(\Lambda\) cosmological ⋮ Noncommutativity, generalized uncertainty principle and FRW cosmology ⋮ Quantum Brownian motion on non-commutative manifolds: Construction, deformation and exit times ⋮ Privileged coordinates and nilpotent approximation of Carnot manifolds. I: General results ⋮ Exotic smoothness, noncommutative geometry, and particle physics ⋮ Noncommutative FRW apparent horizon and Hawking radiation ⋮ Noncommutative duality and fermionic quasinormal modes of the BTZ black hole ⋮ The geometry of the double gyroid wire network: quantum and classical ⋮ A theory of induction and classification of tensor \(C^\ast\)-categories ⋮ Property (RD) for Hecke pairs ⋮ Spectral action beyond the weak-field approximation ⋮ Quantum bundle description of quantum projective spaces ⋮ Fuzzy complex projective spaces and their star-products ⋮ Superconnections, anomalies and non-BPS brane charges ⋮ Minimal entropy rigidity for foliations of compact spaces ⋮ Fractional loop group and twisted \(K\)-theory ⋮ Wigner measures in noncommutative quantum mechanics ⋮ Scale relativity and fractal space-time: theory and applications ⋮ The algebra of formal twisted pseudodifferential symbols and a noncommutative residue ⋮ Tadpoles and commutative spectral triples ⋮ A calculation of the multiplicative character ⋮ Traces of \(G\)-operators concentrated on submanifolds ⋮ Crossed simplicial group categorical nerves ⋮ Twisted sigma-model solitons on the quantum projective line ⋮ Quantum Klein space and superspace ⋮ On the global limiting absorption principle for massless Dirac operators ⋮ T-duality simplifies bulk-boundary correspondence: some higher dimensional cases ⋮ On twisted Fourier analysis and convergence of Fourier series on discrete groups ⋮ Quantum enveloping algebras with von Neumann regular Cartan-like generators and the Pierce decomposition ⋮ The geometry of determinant line bundles in noncommutative geometry ⋮ Noncommutative gauge theories on \( \mathbb{R}_{\theta}^2 \) as matrix models ⋮ Dixmier traces generated by exponentiation invariant generalised limits ⋮ \(L^2\)-index formula for proper cocompact group actions ⋮ The space of Penrose tilings and the noncommutative curve with homogeneous coordinate ring \(k\langle x,y \rangle/(y^2)\) ⋮ A metric characterisation of repulsive tilings ⋮ Traces and residues of pseudo-differential operators on the torus ⋮ A higher index theorem for foliated manifolds with boundary ⋮ Spectral action for torsion with and without boundaries ⋮ A Dixmier trace formula for the density of states ⋮ Noncommutative residue and canonical trace on noncommutative tori. Uniqueness results ⋮ The spectral localizer for even index pairings ⋮ The Higson-Roe sequence for étale groupoids. I: Dual algebras and compatibility with the BC map ⋮ Hecke operators in \(KK\)-theory and the \(K\)-homology of Bianchi groups

This page was built for publication: