Spectral triples for subshifts

DOI10.1016/j.jfa.2015.12.002zbMath1341.46041arXiv1411.6800OpenAlexW2964170223MaRDI QIDQ906313

Antoine Julien, Ian F. Putnam

Publication date: 21 January 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6800

zbMATH Keywords

spectral triplesubshiftConnes distance formula

Mathematics Subject Classification ID

Related Items (7)

The category of compact quantum metric spaces ⋮ Wavelets and spectral triples for fractal representations of Cuntz algebras ⋮ Finiteness of metrics on state spaces ⋮ Almost periodic type group actions on compact quantum metric spaces ⋮ Convergence of inductive sequences of spectral triples for the spectral propinquity ⋮ Fractal spectral triples on Kellendonk's \(C^\ast\)-algebra of a substitution tiling ⋮ A classification of aperiodic order via spectral metrics and Jarník sets

Cites Work

• Spectral triples for hyperbolic dynamical systems
• A characterization of subshifts with bounded powers
• Frequencies of factors of Sturmian sequences
• Spectral triples and Gibbs measures for expanding maps on Cantor sets
• Substitutions in dynamics, arithmetics and combinatorics
• A metric characterisation of repulsive tilings
• Three distance theorems and combinatorics on words
• Metrics on state spaces
• Noncommutative Riemannian geometry and diffusion on ultrametric Cantor sets
• Pure point diffraction implies zero entropy for Delone sets with uniform cluster frequencies
• Spectral triples and characterization of aperiodic order
• A condition for unique ergodicity of minimal symbolic flows
• Endomorphisms of irreducible subshifts of finite type
• Repetitive Delone sets and quasicrystals
• Linearly recurrent subshifts have a finite number of non-periodic subshift factors
• An Introduction to Symbolic Dynamics and Coding
• On the Noncommutative Geometry of Tilings
• Locally compact transformation groups and 𝐶*-algebras
• Compact metric spaces, Fredholm modules, and hyperfiniteness
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral triples for subshifts