\(C^*\)-algebras associated with one dimensional almost periodic tilings

DOI10.1007/BF02506409zbMath0874.46042MaRDI QIDQ1356106

James A. Mingo

Publication date: 8 July 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

\(C^*\)-algebrairrational rotation \(C^*\)-algebrasingular pairsspace of one-dimensional almost periodic tilingstopological groupoid with a Haar system

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (4)

Bratteli–Vershik models for partial actions of ℤ ⋮ Metric trees of generalized roundness one ⋮ The stable algebra of a Wieler solenoid: inductive limits and -theory ⋮ A classification of one dimensional almost periodic tilings arising from the projection method

Cites Work

• The geometry of Markoff numbers
• A groupoid approach to C*-algebras
• Topological invariants for substitution tilings and their associated $C^\ast$-algebras
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
• NONCOMMUTATIVE GEOMETRY OF TILINGS AND GAP LABELLING
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