On graph algebras from interval maps

DOI10.1215/20088752-2018-0019zbMath1431.46034arXiv1807.07503OpenAlexW2884715262WikidataQ128197685 ScholiaQ128197685MaRDI QIDQ2314386

Yanyan Li

Publication date: 22 July 2019

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

Full work available at URL: https://arxiv.org/abs/1807.07503

zbMATH Keywords

representationinterval maptransition matrixgraph $C^*$-algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (2)

Irreducible and permutative representations of ultragraph Leavitt path algebras ⋮ Unifying interval maps and branching systems with applications to relative graph \(\mathrm{C}^\ast\)-algebras

Cites Work

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• Interval maps from Cuntz-Krieger algebras
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• The \(C^*\)-algebras of row-finite graphs
• Recursive fermion system in Cuntz algebra. I
• Adding tails to \(C^*\)-correspondences
• Toeplitz algebras arising from escape points of interval maps
• Cuntz-Krieger algebras representations from orbits of interval maps
• Representations of finite groups and Cuntz-Krieger algebras
• Iterated function systems and permutation representations of the Cuntz algebra
• The Toeplitz algebra of a Hilbert bimodule
• Wavelet constructions in non-linear dynamics

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