Topological equivalence of tilings
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Publication:4340140
DOI10.1063/1.531915zbMath0881.52014arXivcond-mat/9609254OpenAlexW2027289827MaRDI QIDQ4340140
Publication date: 17 February 1998
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/9609254
Topological groupoids (including differentiable and Lie groupoids) (22A22) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Semigroups (20M99)
Related Items (26)
General non-commutative locally compact locally Hausdorff Stone duality ⋮ Universal groups for point-sets and tilings. ⋮ Decidability Versus Undecidability of the Word Problem in Amalgams of Inverse Semigroups ⋮ Subgroups of the group of homeomorphisms of the Cantor space and a duality between a class of inverse monoids and a class of Hausdorff étale groupoids ⋮ A perspective on non-commutative frame theory ⋮ A radial analogue of Poisson's summation formula with applications to powder diffraction and pinwheel patterns ⋮ Non-commutative Stone duality ⋮ Pseudogroups and their étale groupoids. ⋮ The tiling \(C^*\)-algebra viewed as a tight inverse semigroup algebra ⋮ Pattern equivariant functions, deformations and equivalence of tiling spaces ⋮ Tiling semigroups ⋮ Primitive tilings and coherent frames ⋮ Supersymmetric many-body systems from partial symmetries -- integrability, localization and scrambling ⋮ NON-COMMUTATIVE STONE DUALITY: INVERSE SEMIGROUPS, TOPOLOGICAL GROUPOIDS AND C*-ALGEBRAS ⋮ A NONCOMMUTATIVE GENERALIZATION OF STONE DUALITY ⋮ One-Dimensional Tiling Semigroups and Factorial Languages ⋮ The universal Boolean inverse semigroup presented by the abstract Cuntz-Krieger relations ⋮ Recent developments in inverse semigroup theory ⋮ The Booleanization of an inverse semigroup ⋮ Tiling Semigroups ofn-Dimensional Hypercubic Tilings ⋮ PARTIAL ACTIONS OF GROUPS ⋮ JOINS AND COVERS IN INVERSE SEMIGROUPS AND TIGHT -ALGEBRAS ⋮ The Structure of 0-E-unitary inverse semigroups I: the monoid case ⋮ Some fundamental properties of tiling semigroups ⋮ THE ÉTALE GROUPOID OF AN INVERSE SEMIGROUP AS A GROUPOID OF FILTERS ⋮ \(K\)-theory for semigroup \(C^*\)-algebras and partial crossed products
Cites Work
- On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
- Quasiperiodic tilings with tenfold symmetry and equivalence with respect to local derivability
- GAP LABELLING THEOREMS FOR ONE DIMENSIONAL DISCRETE SCHRÖDINGER OPERATORS
- ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
- NONCOMMUTATIVE GEOMETRY OF TILINGS AND GAP LABELLING
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