\(C^*\)-algebras of Penrose hyperbolic tilings

DOI10.1016/j.geomphys.2010.09.019zbMath1217.37008arXiv0905.1932OpenAlexW2963680558MaRDI QIDQ629372

Samuel Petite, Hervé Oyono-Oyono

Publication date: 9 March 2011

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1932

zbMATH Keywords

\(K\)-theorycyclic cohomology\(C^*\)-algebras of dynamical systemshyperbolic aperiodic tilings

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (3)

\(K\)-theory of the chair tiling via \(AF\)-algebras ⋮ Conformal tilings I: foundations, theory, and practice ⋮ Conformal tilings II: Local isomorphism, hierarchy, and conformal type

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