Cyclic cohomology for graded \(C^{\ast,r}\)-algebras and its pairings with van Daele \(K\)-theory

DOI10.1007/s00220-019-03452-1zbMath1425.46051arXiv1607.08465OpenAlexW2964184954MaRDI QIDQ2415336

Johannes Kellendonk

Publication date: 21 May 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08465

zbMATH Keywords

real \(C^\ast\)-algebrasaperiodic modelsvan Daele \(K\)-groups

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Applications of selfadjoint operator algebras to physics (46L60) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (9)

Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases ⋮ The KO-valued spectral flow for skew-adjoint Fredholm operators ⋮ Approximate symmetries and conservation laws in topological insulators and associated \(\mathbb{Z}\)-invariants ⋮ The Cayley transform in complex, real and graded K-theory ⋮ The noncommutative index theorem and the periodic table for disordered topological insulators and superconductors ⋮ Skew localizer and \(\mathbb{Z}_2\)-flows for real index pairings ⋮ The \(K\)-theoretic bulk-edge correspondence for topological insulators ⋮ `Real' Gerbes and Dirac cones of topological insulators ⋮ Bulk-boundary correspondence for disordered free-fermion topological phases

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