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Index theory and topological phases of aperiodic lattices (Q2420590)

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Language	Label	Description	Also known as
English	Index theory and topological phases of aperiodic lattices	scientific article

Statements

scholarly article

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Index theory and topological phases of aperiodic lattices (English)

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Annales Henri Poincaré

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publication date

6 June 2019

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full work available at URL

https://arxiv.org/abs/1807.03972

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zbMATH Keywords

Delone set

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aperiodic lattices

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tilings

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Kasparov modules

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MaRDI profile type

MaRDI publication profile

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Localization at large disorder and at extreme energies: an elementary derivation

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Topological invariants for substitution tilings and their associated $C^\ast$-algebras

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Pimsner algebras and Gysin sequences from principal circle actions

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Clifford modules

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Index theory for skew-adjoint Fredholm operators

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Spectral continuity for aperiodic quantum systems I. General theory

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Delone Sets and Material Science: a Program

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Spaces of tilings, finite telescopic approximations and gap-labeling

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The noncommutative geometry of the quantum Hall effect

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Magnetic twisted actions on general abelian $C^*$-algebras

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A non-commutative framework for topological insulators

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The \(K\)-theoretic bulk-edge correspondence for topological insulators

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Non-commutative Chern numbers for generic aperiodic discrete systems

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Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases

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Twisted cyclic theory, equivariant KK-theory and KMS states

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The local index formula in semifinite von Neumann algebras. I: Spectral flow

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The local index formula in semifinite von Neumann algebras. II: the even case

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An analogue of the Thom isomorphism for crossed products of a C* algebra by an action of R

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The longitudinal index theorem for foliations

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A new look at KK-theory

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A groupoid approach to noncommutative T-duality

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Coarse geometry and topological phases

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Generalized s-numbers of \(\tau\)-measurable operators

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Topological invariants for projection method patterns

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Twisted equivariant matter

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Ergodicity and dynamical localization for Delone–Anderson operators

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Spectral triples and finite summability on Cuntz-Krieger algebras

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Shift–tail equivalence and an unbounded representative of the Cuntz–Pimsner extension

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Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices

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Index pairings in presence of symmetries with applications to topological insulators

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T-duality simplifies bulk-boundary correspondence: the noncommutative case

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Spaces of Projection Method Patterns and their Cohomology

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THE OPERATOR<i>K</i>-FUNCTOR AND EXTENSIONS OF<i>C</i>*-ALGEBRAS

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Equivariant KK-theory and the Novikov conjecture

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The noncommutative index theorem and the periodic table for disordered topological insulators and superconductors

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NONCOMMUTATIVE GEOMETRY OF TILINGS AND GAP LABELLING

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The local structure of tilings and their integer group of coinvariants

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On the \(C^*\)-algebraic approach to topological phases for insulators

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Regular representation of groupoid C* -algebras and applications to inverse semigroups

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Notes on twisted equivariant K-theory for C*-algebras

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Controlled topological phases and bulk-edge correspondence

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The \(KK\)-product of unbounded modules

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On <i>C</i>*-Diagonals

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On the Noncommutative Geometry of Tilings

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KMS states of quasi-free dynamics on Pimsner algebras

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Repetitive Delone sets and quasicrystals

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Groupoids, von Neumann algebras and the integrated density of states

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Sums of regular self-adjoint operators in Hilbert-\(C^{\ast}\)-modules

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Fractal spectral triples on Kellendonk's \(C^\ast\)-algebra of a substitution tiling

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Groupoid cocycles and K-theory

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Nonunital spectral triples and metric completeness in unbounded \(KK\)-theory

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Renault's Equivalence Theorem for Groupoid Crossed Products

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Twisted crossed products of <i>C</i>*-algebras

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Noncommutative Riemannian geometry and diffusion on ultrametric Cantor sets

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The structure of \(C^*\)-algebras associated with hyperbolic dynamical systems

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A Computational Non-commutative Geometry Program for Disordered Topological Insulators

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Bulk and boundary invariants for complex topological insulators. From \(K\)-theory to physics

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Generalized Connes–Chern characters in<i>KK</i>-theory with an application to weak invariants of topological insulators

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A groupoid approach to C*-algebras

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The extension class and KMS states for Cuntz–Pimsner algebras of some bi-Hilbertian bimodules

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Groupoid algebras as Cuntz-Pimsner algebras

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Connes’ analogue for crossed products of the Thom isomorphism

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Random Schr\"odinger Operators on discrete structures

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Tiling spaces are Cantor set fiber bundles

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A spectral sequence for the<i>K</i>-theory of tiling spaces

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Renault's Equivalence Theorem for Reduced Groupoid C*-algebras

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An equivalence theorem for reduced Fell bundle \(C^\ast\)-algebras

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C*-algebras associated to product systems of Hilbert bimodules

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On the \(K\)-theoretic classification of topological phases of matter

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Identifiers

zbMATH Open document ID

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10.1007/s00023-019-00764-9

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2420590

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