C∗-algebras of Penrose hyperbolic tilings

Author:

Oyono-Oyono Hervé,Petite Samuel

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference20 articles.

1. Lamination par surface de Riemann;Ghys;Panor. Synthèses,1999

2. Gap labelling theorems for Schrödinger operators;Bellissard,1992

3. Spaces of tilings, finite telescopic approximations and gap-labelling;Bellissard;Comm. Math. Phys.,2006

4. Index theory for quasi-crystals I. Computation of the gap-label group;Benameur;J. Funct. Anal.,2007

5. A proof of the gap labelling conjecture;Kaminker;Michigan Math. J.,2003

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1. Hofstadter-Toda spectral duality and quantum groups;Journal of Mathematical Physics;2024-07-01

2. Conformal tilings II: Local isomorphism, hierarchy, and conformal type;Conformal Geometry and Dynamics of the American Mathematical Society;2019-04-26

3. Conformal tilings I: foundations, theory, and practice;Conformal Geometry and Dynamics of the American Mathematical Society;2017-01-10

4. K-theory of the chair tiling via AF-algebras;Journal of Geometry and Physics;2016-08

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