On the K-theory of the stable C\(^{*}\)-algebras from substitution tilings

DOI10.1016/j.jfa.2010.10.020zbMath1222.46055OpenAlexW2027044334MaRDI QIDQ629693

Daniel Gonçalves

Publication date: 9 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.10.020

zbMATH Keywords

tilingsK-theoryaperiodic orderC*-algebra

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) (K_0) as an ordered group, traces (19K14)

Related Items (6)

Partial crossed products as equivalence relation algebras. ⋮ Pattern-equivariant homology ⋮ \(K\)-theory of two-dimensional substitution tiling spaces from \textit{AF}-algebras ⋮ Smale space $C^*$-algebras have nonzero projections ⋮ The stable algebra of a Wieler solenoid: inductive limits and -theory ⋮ On the $K$-theory of $C^*$-algebras associated to substitution tilings

Cites Work

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• \(K\)-groups associated with substitution minimal systems
• The local structure of tilings and their integer group of coinvariants
• \(K\)-theoretic duality for shifts of finite type
• Cohomology of canonical projection tilings
• K-theoretic duality for hyperbolic dynamical systems
• Invariant means and finite representation theory of 𝐶*-algebras
• Topological invariants for substitution tilings and their associated $C^\ast$-algebras
• NONCOMMUTATIVE GEOMETRY OF TILINGS AND GAP LABELLING
• A spectral sequence for theK-theory of tiling spaces
• Trace asymptotics for $C^{\ast }$-algebras from Smale spaces

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